Methodology for Solving Engineering Problems of Burgers–Huxley Coupled with Symmetric Boundary Conditions by Means of the Network Simulation Method

The Burgers–Huxley equation is a partial differential equation which is based on the Burgers equation, involving diffusion, accumulation, drag, and species generation or sink phenomena. This equation is commonly used in fluid mechanics, air pollutant emissions, chloride diffusion in concrete, non-li...
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Autor*in:	Juan Francisco Sánchez-Pérez [verfasserIn] Fulgencio Marín-García [verfasserIn] Enrique Castro [verfasserIn] Gonzalo García-Ros [verfasserIn] Manuel Conesa [verfasserIn] Joaquín Solano-Ramírez [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	mathematical modelling simulation network simulation method coupled differential equations engineering science symmetry

Übergeordnetes Werk:	In: Symmetry - MDPI AG, 2009, 15(2023), 1740, p 1740
Übergeordnetes Werk:	volume:15 ; year:2023 ; number:1740, p 1740

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/sym15091740

Katalog-ID:	DOAJ093260261

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allfields	10.3390/sym15091740 doi (DE-627)DOAJ093260261 (DE-599)DOAJ8e12f2e6e99c4e7c8323402e272b63b2 DE-627 ger DE-627 rakwb eng QA1-939 Juan Francisco Sánchez-Pérez verfasserin aut Methodology for Solving Engineering Problems of Burgers–Huxley Coupled with Symmetric Boundary Conditions by Means of the Network Simulation Method 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The Burgers–Huxley equation is a partial differential equation which is based on the Burgers equation, involving diffusion, accumulation, drag, and species generation or sink phenomena. This equation is commonly used in fluid mechanics, air pollutant emissions, chloride diffusion in concrete, non-linear acoustics, and other areas. A general methodology is proposed in this work to solve the mentioned equation or coupled systems formed by it using the network simulation method. Additionally, the implementation of the most common possible boundary conditions in different engineering problems is indicated, including the Neumann condition that enables symmetry to be applied to the problem, reducing computation times. The method consists mainly of establishing an analogy between the variables of the differential equations and the electrical voltage at a central node. The methodology is also explained in detail, facilitating its implementation to similar engineering problems, since the equivalence, for example, between the different types of spatial and time derivatives and its correspondence with the electrical device is detailed. As an example, several cases of both the equation and a coupled system are solved by varying the boundary conditions on one side and applying symmetry on the other. mathematical modelling simulation network simulation method coupled differential equations engineering science symmetry Mathematics Fulgencio Marín-García verfasserin aut Enrique Castro verfasserin aut Gonzalo García-Ros verfasserin aut Manuel Conesa verfasserin aut Joaquín Solano-Ramírez verfasserin aut In Symmetry MDPI AG, 2009 15(2023), 1740, p 1740 (DE-627)610604112 (DE-600)2518382-5 20738994 nnns volume:15 year:2023 number:1740, p 1740 https://doi.org/10.3390/sym15091740 kostenfrei https://doaj.org/article/8e12f2e6e99c4e7c8323402e272b63b2 kostenfrei https://www.mdpi.com/2073-8994/15/9/1740 kostenfrei https://doaj.org/toc/2073-8994 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 15 2023 1740, p 1740
spelling	10.3390/sym15091740 doi (DE-627)DOAJ093260261 (DE-599)DOAJ8e12f2e6e99c4e7c8323402e272b63b2 DE-627 ger DE-627 rakwb eng QA1-939 Juan Francisco Sánchez-Pérez verfasserin aut Methodology for Solving Engineering Problems of Burgers–Huxley Coupled with Symmetric Boundary Conditions by Means of the Network Simulation Method 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The Burgers–Huxley equation is a partial differential equation which is based on the Burgers equation, involving diffusion, accumulation, drag, and species generation or sink phenomena. This equation is commonly used in fluid mechanics, air pollutant emissions, chloride diffusion in concrete, non-linear acoustics, and other areas. A general methodology is proposed in this work to solve the mentioned equation or coupled systems formed by it using the network simulation method. Additionally, the implementation of the most common possible boundary conditions in different engineering problems is indicated, including the Neumann condition that enables symmetry to be applied to the problem, reducing computation times. The method consists mainly of establishing an analogy between the variables of the differential equations and the electrical voltage at a central node. The methodology is also explained in detail, facilitating its implementation to similar engineering problems, since the equivalence, for example, between the different types of spatial and time derivatives and its correspondence with the electrical device is detailed. As an example, several cases of both the equation and a coupled system are solved by varying the boundary conditions on one side and applying symmetry on the other. mathematical modelling simulation network simulation method coupled differential equations engineering science symmetry Mathematics Fulgencio Marín-García verfasserin aut Enrique Castro verfasserin aut Gonzalo García-Ros verfasserin aut Manuel Conesa verfasserin aut Joaquín Solano-Ramírez verfasserin aut In Symmetry MDPI AG, 2009 15(2023), 1740, p 1740 (DE-627)610604112 (DE-600)2518382-5 20738994 nnns volume:15 year:2023 number:1740, p 1740 https://doi.org/10.3390/sym15091740 kostenfrei https://doaj.org/article/8e12f2e6e99c4e7c8323402e272b63b2 kostenfrei https://www.mdpi.com/2073-8994/15/9/1740 kostenfrei https://doaj.org/toc/2073-8994 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 15 2023 1740, p 1740
allfields_unstemmed	10.3390/sym15091740 doi (DE-627)DOAJ093260261 (DE-599)DOAJ8e12f2e6e99c4e7c8323402e272b63b2 DE-627 ger DE-627 rakwb eng QA1-939 Juan Francisco Sánchez-Pérez verfasserin aut Methodology for Solving Engineering Problems of Burgers–Huxley Coupled with Symmetric Boundary Conditions by Means of the Network Simulation Method 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The Burgers–Huxley equation is a partial differential equation which is based on the Burgers equation, involving diffusion, accumulation, drag, and species generation or sink phenomena. This equation is commonly used in fluid mechanics, air pollutant emissions, chloride diffusion in concrete, non-linear acoustics, and other areas. A general methodology is proposed in this work to solve the mentioned equation or coupled systems formed by it using the network simulation method. Additionally, the implementation of the most common possible boundary conditions in different engineering problems is indicated, including the Neumann condition that enables symmetry to be applied to the problem, reducing computation times. The method consists mainly of establishing an analogy between the variables of the differential equations and the electrical voltage at a central node. The methodology is also explained in detail, facilitating its implementation to similar engineering problems, since the equivalence, for example, between the different types of spatial and time derivatives and its correspondence with the electrical device is detailed. As an example, several cases of both the equation and a coupled system are solved by varying the boundary conditions on one side and applying symmetry on the other. mathematical modelling simulation network simulation method coupled differential equations engineering science symmetry Mathematics Fulgencio Marín-García verfasserin aut Enrique Castro verfasserin aut Gonzalo García-Ros verfasserin aut Manuel Conesa verfasserin aut Joaquín Solano-Ramírez verfasserin aut In Symmetry MDPI AG, 2009 15(2023), 1740, p 1740 (DE-627)610604112 (DE-600)2518382-5 20738994 nnns volume:15 year:2023 number:1740, p 1740 https://doi.org/10.3390/sym15091740 kostenfrei https://doaj.org/article/8e12f2e6e99c4e7c8323402e272b63b2 kostenfrei https://www.mdpi.com/2073-8994/15/9/1740 kostenfrei https://doaj.org/toc/2073-8994 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 15 2023 1740, p 1740
allfieldsGer	10.3390/sym15091740 doi (DE-627)DOAJ093260261 (DE-599)DOAJ8e12f2e6e99c4e7c8323402e272b63b2 DE-627 ger DE-627 rakwb eng QA1-939 Juan Francisco Sánchez-Pérez verfasserin aut Methodology for Solving Engineering Problems of Burgers–Huxley Coupled with Symmetric Boundary Conditions by Means of the Network Simulation Method 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The Burgers–Huxley equation is a partial differential equation which is based on the Burgers equation, involving diffusion, accumulation, drag, and species generation or sink phenomena. This equation is commonly used in fluid mechanics, air pollutant emissions, chloride diffusion in concrete, non-linear acoustics, and other areas. A general methodology is proposed in this work to solve the mentioned equation or coupled systems formed by it using the network simulation method. Additionally, the implementation of the most common possible boundary conditions in different engineering problems is indicated, including the Neumann condition that enables symmetry to be applied to the problem, reducing computation times. The method consists mainly of establishing an analogy between the variables of the differential equations and the electrical voltage at a central node. The methodology is also explained in detail, facilitating its implementation to similar engineering problems, since the equivalence, for example, between the different types of spatial and time derivatives and its correspondence with the electrical device is detailed. As an example, several cases of both the equation and a coupled system are solved by varying the boundary conditions on one side and applying symmetry on the other. mathematical modelling simulation network simulation method coupled differential equations engineering science symmetry Mathematics Fulgencio Marín-García verfasserin aut Enrique Castro verfasserin aut Gonzalo García-Ros verfasserin aut Manuel Conesa verfasserin aut Joaquín Solano-Ramírez verfasserin aut In Symmetry MDPI AG, 2009 15(2023), 1740, p 1740 (DE-627)610604112 (DE-600)2518382-5 20738994 nnns volume:15 year:2023 number:1740, p 1740 https://doi.org/10.3390/sym15091740 kostenfrei https://doaj.org/article/8e12f2e6e99c4e7c8323402e272b63b2 kostenfrei https://www.mdpi.com/2073-8994/15/9/1740 kostenfrei https://doaj.org/toc/2073-8994 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 15 2023 1740, p 1740
allfieldsSound	10.3390/sym15091740 doi (DE-627)DOAJ093260261 (DE-599)DOAJ8e12f2e6e99c4e7c8323402e272b63b2 DE-627 ger DE-627 rakwb eng QA1-939 Juan Francisco Sánchez-Pérez verfasserin aut Methodology for Solving Engineering Problems of Burgers–Huxley Coupled with Symmetric Boundary Conditions by Means of the Network Simulation Method 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The Burgers–Huxley equation is a partial differential equation which is based on the Burgers equation, involving diffusion, accumulation, drag, and species generation or sink phenomena. This equation is commonly used in fluid mechanics, air pollutant emissions, chloride diffusion in concrete, non-linear acoustics, and other areas. A general methodology is proposed in this work to solve the mentioned equation or coupled systems formed by it using the network simulation method. Additionally, the implementation of the most common possible boundary conditions in different engineering problems is indicated, including the Neumann condition that enables symmetry to be applied to the problem, reducing computation times. The method consists mainly of establishing an analogy between the variables of the differential equations and the electrical voltage at a central node. The methodology is also explained in detail, facilitating its implementation to similar engineering problems, since the equivalence, for example, between the different types of spatial and time derivatives and its correspondence with the electrical device is detailed. As an example, several cases of both the equation and a coupled system are solved by varying the boundary conditions on one side and applying symmetry on the other. mathematical modelling simulation network simulation method coupled differential equations engineering science symmetry Mathematics Fulgencio Marín-García verfasserin aut Enrique Castro verfasserin aut Gonzalo García-Ros verfasserin aut Manuel Conesa verfasserin aut Joaquín Solano-Ramírez verfasserin aut In Symmetry MDPI AG, 2009 15(2023), 1740, p 1740 (DE-627)610604112 (DE-600)2518382-5 20738994 nnns volume:15 year:2023 number:1740, p 1740 https://doi.org/10.3390/sym15091740 kostenfrei https://doaj.org/article/8e12f2e6e99c4e7c8323402e272b63b2 kostenfrei https://www.mdpi.com/2073-8994/15/9/1740 kostenfrei https://doaj.org/toc/2073-8994 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 15 2023 1740, p 1740
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authorswithroles_txt_mv	Juan Francisco Sánchez-Pérez @@aut@@ Fulgencio Marín-García @@aut@@ Enrique Castro @@aut@@ Gonzalo García-Ros @@aut@@ Manuel Conesa @@aut@@ Joaquín Solano-Ramírez @@aut@@
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callnumber-first	Q - Science
author	Juan Francisco Sánchez-Pérez
spellingShingle	Juan Francisco Sánchez-Pérez misc QA1-939 misc mathematical modelling misc simulation misc network simulation method misc coupled differential equations misc engineering science misc symmetry misc Mathematics Methodology for Solving Engineering Problems of Burgers–Huxley Coupled with Symmetric Boundary Conditions by Means of the Network Simulation Method
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topic_title	QA1-939 Methodology for Solving Engineering Problems of Burgers–Huxley Coupled with Symmetric Boundary Conditions by Means of the Network Simulation Method mathematical modelling simulation network simulation method coupled differential equations engineering science symmetry
topic	misc QA1-939 misc mathematical modelling misc simulation misc network simulation method misc coupled differential equations misc engineering science misc symmetry misc Mathematics
topic_unstemmed	misc QA1-939 misc mathematical modelling misc simulation misc network simulation method misc coupled differential equations misc engineering science misc symmetry misc Mathematics
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title	Methodology for Solving Engineering Problems of Burgers–Huxley Coupled with Symmetric Boundary Conditions by Means of the Network Simulation Method
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title_full	Methodology for Solving Engineering Problems of Burgers–Huxley Coupled with Symmetric Boundary Conditions by Means of the Network Simulation Method
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author_browse	Juan Francisco Sánchez-Pérez Fulgencio Marín-García Enrique Castro Gonzalo García-Ros Manuel Conesa Joaquín Solano-Ramírez
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title_sort	methodology for solving engineering problems of burgers–huxley coupled with symmetric boundary conditions by means of the network simulation method
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title_auth	Methodology for Solving Engineering Problems of Burgers–Huxley Coupled with Symmetric Boundary Conditions by Means of the Network Simulation Method
abstract	The Burgers–Huxley equation is a partial differential equation which is based on the Burgers equation, involving diffusion, accumulation, drag, and species generation or sink phenomena. This equation is commonly used in fluid mechanics, air pollutant emissions, chloride diffusion in concrete, non-linear acoustics, and other areas. A general methodology is proposed in this work to solve the mentioned equation or coupled systems formed by it using the network simulation method. Additionally, the implementation of the most common possible boundary conditions in different engineering problems is indicated, including the Neumann condition that enables symmetry to be applied to the problem, reducing computation times. The method consists mainly of establishing an analogy between the variables of the differential equations and the electrical voltage at a central node. The methodology is also explained in detail, facilitating its implementation to similar engineering problems, since the equivalence, for example, between the different types of spatial and time derivatives and its correspondence with the electrical device is detailed. As an example, several cases of both the equation and a coupled system are solved by varying the boundary conditions on one side and applying symmetry on the other.
abstractGer	The Burgers–Huxley equation is a partial differential equation which is based on the Burgers equation, involving diffusion, accumulation, drag, and species generation or sink phenomena. This equation is commonly used in fluid mechanics, air pollutant emissions, chloride diffusion in concrete, non-linear acoustics, and other areas. A general methodology is proposed in this work to solve the mentioned equation or coupled systems formed by it using the network simulation method. Additionally, the implementation of the most common possible boundary conditions in different engineering problems is indicated, including the Neumann condition that enables symmetry to be applied to the problem, reducing computation times. The method consists mainly of establishing an analogy between the variables of the differential equations and the electrical voltage at a central node. The methodology is also explained in detail, facilitating its implementation to similar engineering problems, since the equivalence, for example, between the different types of spatial and time derivatives and its correspondence with the electrical device is detailed. As an example, several cases of both the equation and a coupled system are solved by varying the boundary conditions on one side and applying symmetry on the other.
abstract_unstemmed	The Burgers–Huxley equation is a partial differential equation which is based on the Burgers equation, involving diffusion, accumulation, drag, and species generation or sink phenomena. This equation is commonly used in fluid mechanics, air pollutant emissions, chloride diffusion in concrete, non-linear acoustics, and other areas. A general methodology is proposed in this work to solve the mentioned equation or coupled systems formed by it using the network simulation method. Additionally, the implementation of the most common possible boundary conditions in different engineering problems is indicated, including the Neumann condition that enables symmetry to be applied to the problem, reducing computation times. The method consists mainly of establishing an analogy between the variables of the differential equations and the electrical voltage at a central node. The methodology is also explained in detail, facilitating its implementation to similar engineering problems, since the equivalence, for example, between the different types of spatial and time derivatives and its correspondence with the electrical device is detailed. As an example, several cases of both the equation and a coupled system are solved by varying the boundary conditions on one side and applying symmetry on the other.
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title_short	Methodology for Solving Engineering Problems of Burgers–Huxley Coupled with Symmetric Boundary Conditions by Means of the Network Simulation Method
url	https://doi.org/10.3390/sym15091740 https://doaj.org/article/8e12f2e6e99c4e7c8323402e272b63b2 https://www.mdpi.com/2073-8994/15/9/1740 https://doaj.org/toc/2073-8994
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up_date	2024-07-03T16:14:21.755Z
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Methodology for Solving Engineering Problems of Burgers–Huxley Coupled with Symmetric Boundary Conditions by Means of the Network Simulation Method

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