A generalized Chebyshev operational method for Volterra integro-partial differential equations with weakly singular kernels

Volterra integro-partial differential equations with weakly singular kernels (VIPDEWSK) are utilized to model diverse physical phenomena. A matrix collocation method is proposed for determining the approximate solution of this functional equation category. The method employs shifted Chebyshev polyno...
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Autor*in:	Khadijeh Sadri [verfasserIn] David Amilo [verfasserIn] Evren Hinçal [verfasserIn] Kamyar Hosseini [verfasserIn] Soheil Salahshour [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2024

Schlagwörter:	Chebyshev polynomials of the fifth kind Pseudo-operational matrix of integration Volterra integro-partial differential equations Error bound

Übergeordnetes Werk:	In: Heliyon - Elsevier, 2016, 10(2024), 5, Seite e27260-
Übergeordnetes Werk:	volume:10 ; year:2024 ; number:5 ; pages:e27260-

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.1016/j.heliyon.2024.e27260

Katalog-ID:	DOAJ095680276

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520			\|a Volterra integro-partial differential equations with weakly singular kernels (VIPDEWSK) are utilized to model diverse physical phenomena. A matrix collocation method is proposed for determining the approximate solution of this functional equation category. The method employs shifted Chebyshev polynomials of the fifth kind (SCPFK) to construct two-dimensional pseudo-operational matrices of integration, avoiding the need for explicit integration and thereby speeding up computations. Error bounds are examined in a Chebyshev-weighted space, providing insights into approximation accuracy. The approach is applied to several experimental examples, and the results are compared with those obtained using the Bernoulli wavelets and Legendre wavelets methods.
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allfields	10.1016/j.heliyon.2024.e27260 doi (DE-627)DOAJ095680276 (DE-599)DOAJ8d030c34b5554b8fb6b26531171cc562 DE-627 ger DE-627 rakwb eng Q1-390 H1-99 Khadijeh Sadri verfasserin aut A generalized Chebyshev operational method for Volterra integro-partial differential equations with weakly singular kernels 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Volterra integro-partial differential equations with weakly singular kernels (VIPDEWSK) are utilized to model diverse physical phenomena. A matrix collocation method is proposed for determining the approximate solution of this functional equation category. The method employs shifted Chebyshev polynomials of the fifth kind (SCPFK) to construct two-dimensional pseudo-operational matrices of integration, avoiding the need for explicit integration and thereby speeding up computations. Error bounds are examined in a Chebyshev-weighted space, providing insights into approximation accuracy. The approach is applied to several experimental examples, and the results are compared with those obtained using the Bernoulli wavelets and Legendre wavelets methods. Chebyshev polynomials of the fifth kind Pseudo-operational matrix of integration Volterra integro-partial differential equations Error bound Science (General) Social sciences (General) David Amilo verfasserin aut Evren Hinçal verfasserin aut Kamyar Hosseini verfasserin aut Soheil Salahshour verfasserin aut In Heliyon Elsevier, 2016 10(2024), 5, Seite e27260- (DE-627)835893197 (DE-600)2835763-2 24058440 nnns volume:10 year:2024 number:5 pages:e27260- https://doi.org/10.1016/j.heliyon.2024.e27260 kostenfrei https://doaj.org/article/8d030c34b5554b8fb6b26531171cc562 kostenfrei http://www.sciencedirect.com/science/article/pii/S2405844024032912 kostenfrei https://doaj.org/toc/2405-8440 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_171 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 AR 10 2024 5 e27260-
spelling	10.1016/j.heliyon.2024.e27260 doi (DE-627)DOAJ095680276 (DE-599)DOAJ8d030c34b5554b8fb6b26531171cc562 DE-627 ger DE-627 rakwb eng Q1-390 H1-99 Khadijeh Sadri verfasserin aut A generalized Chebyshev operational method for Volterra integro-partial differential equations with weakly singular kernels 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Volterra integro-partial differential equations with weakly singular kernels (VIPDEWSK) are utilized to model diverse physical phenomena. A matrix collocation method is proposed for determining the approximate solution of this functional equation category. The method employs shifted Chebyshev polynomials of the fifth kind (SCPFK) to construct two-dimensional pseudo-operational matrices of integration, avoiding the need for explicit integration and thereby speeding up computations. Error bounds are examined in a Chebyshev-weighted space, providing insights into approximation accuracy. The approach is applied to several experimental examples, and the results are compared with those obtained using the Bernoulli wavelets and Legendre wavelets methods. Chebyshev polynomials of the fifth kind Pseudo-operational matrix of integration Volterra integro-partial differential equations Error bound Science (General) Social sciences (General) David Amilo verfasserin aut Evren Hinçal verfasserin aut Kamyar Hosseini verfasserin aut Soheil Salahshour verfasserin aut In Heliyon Elsevier, 2016 10(2024), 5, Seite e27260- (DE-627)835893197 (DE-600)2835763-2 24058440 nnns volume:10 year:2024 number:5 pages:e27260- https://doi.org/10.1016/j.heliyon.2024.e27260 kostenfrei https://doaj.org/article/8d030c34b5554b8fb6b26531171cc562 kostenfrei http://www.sciencedirect.com/science/article/pii/S2405844024032912 kostenfrei https://doaj.org/toc/2405-8440 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_171 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 AR 10 2024 5 e27260-
allfields_unstemmed	10.1016/j.heliyon.2024.e27260 doi (DE-627)DOAJ095680276 (DE-599)DOAJ8d030c34b5554b8fb6b26531171cc562 DE-627 ger DE-627 rakwb eng Q1-390 H1-99 Khadijeh Sadri verfasserin aut A generalized Chebyshev operational method for Volterra integro-partial differential equations with weakly singular kernels 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Volterra integro-partial differential equations with weakly singular kernels (VIPDEWSK) are utilized to model diverse physical phenomena. A matrix collocation method is proposed for determining the approximate solution of this functional equation category. The method employs shifted Chebyshev polynomials of the fifth kind (SCPFK) to construct two-dimensional pseudo-operational matrices of integration, avoiding the need for explicit integration and thereby speeding up computations. Error bounds are examined in a Chebyshev-weighted space, providing insights into approximation accuracy. The approach is applied to several experimental examples, and the results are compared with those obtained using the Bernoulli wavelets and Legendre wavelets methods. Chebyshev polynomials of the fifth kind Pseudo-operational matrix of integration Volterra integro-partial differential equations Error bound Science (General) Social sciences (General) David Amilo verfasserin aut Evren Hinçal verfasserin aut Kamyar Hosseini verfasserin aut Soheil Salahshour verfasserin aut In Heliyon Elsevier, 2016 10(2024), 5, Seite e27260- (DE-627)835893197 (DE-600)2835763-2 24058440 nnns volume:10 year:2024 number:5 pages:e27260- https://doi.org/10.1016/j.heliyon.2024.e27260 kostenfrei https://doaj.org/article/8d030c34b5554b8fb6b26531171cc562 kostenfrei http://www.sciencedirect.com/science/article/pii/S2405844024032912 kostenfrei https://doaj.org/toc/2405-8440 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_171 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 AR 10 2024 5 e27260-
allfieldsGer	10.1016/j.heliyon.2024.e27260 doi (DE-627)DOAJ095680276 (DE-599)DOAJ8d030c34b5554b8fb6b26531171cc562 DE-627 ger DE-627 rakwb eng Q1-390 H1-99 Khadijeh Sadri verfasserin aut A generalized Chebyshev operational method for Volterra integro-partial differential equations with weakly singular kernels 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Volterra integro-partial differential equations with weakly singular kernels (VIPDEWSK) are utilized to model diverse physical phenomena. A matrix collocation method is proposed for determining the approximate solution of this functional equation category. The method employs shifted Chebyshev polynomials of the fifth kind (SCPFK) to construct two-dimensional pseudo-operational matrices of integration, avoiding the need for explicit integration and thereby speeding up computations. Error bounds are examined in a Chebyshev-weighted space, providing insights into approximation accuracy. The approach is applied to several experimental examples, and the results are compared with those obtained using the Bernoulli wavelets and Legendre wavelets methods. Chebyshev polynomials of the fifth kind Pseudo-operational matrix of integration Volterra integro-partial differential equations Error bound Science (General) Social sciences (General) David Amilo verfasserin aut Evren Hinçal verfasserin aut Kamyar Hosseini verfasserin aut Soheil Salahshour verfasserin aut In Heliyon Elsevier, 2016 10(2024), 5, Seite e27260- (DE-627)835893197 (DE-600)2835763-2 24058440 nnns volume:10 year:2024 number:5 pages:e27260- https://doi.org/10.1016/j.heliyon.2024.e27260 kostenfrei https://doaj.org/article/8d030c34b5554b8fb6b26531171cc562 kostenfrei http://www.sciencedirect.com/science/article/pii/S2405844024032912 kostenfrei https://doaj.org/toc/2405-8440 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_171 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 AR 10 2024 5 e27260-
allfieldsSound	10.1016/j.heliyon.2024.e27260 doi (DE-627)DOAJ095680276 (DE-599)DOAJ8d030c34b5554b8fb6b26531171cc562 DE-627 ger DE-627 rakwb eng Q1-390 H1-99 Khadijeh Sadri verfasserin aut A generalized Chebyshev operational method for Volterra integro-partial differential equations with weakly singular kernels 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Volterra integro-partial differential equations with weakly singular kernels (VIPDEWSK) are utilized to model diverse physical phenomena. A matrix collocation method is proposed for determining the approximate solution of this functional equation category. The method employs shifted Chebyshev polynomials of the fifth kind (SCPFK) to construct two-dimensional pseudo-operational matrices of integration, avoiding the need for explicit integration and thereby speeding up computations. Error bounds are examined in a Chebyshev-weighted space, providing insights into approximation accuracy. The approach is applied to several experimental examples, and the results are compared with those obtained using the Bernoulli wavelets and Legendre wavelets methods. Chebyshev polynomials of the fifth kind Pseudo-operational matrix of integration Volterra integro-partial differential equations Error bound Science (General) Social sciences (General) David Amilo verfasserin aut Evren Hinçal verfasserin aut Kamyar Hosseini verfasserin aut Soheil Salahshour verfasserin aut In Heliyon Elsevier, 2016 10(2024), 5, Seite e27260- (DE-627)835893197 (DE-600)2835763-2 24058440 nnns volume:10 year:2024 number:5 pages:e27260- https://doi.org/10.1016/j.heliyon.2024.e27260 kostenfrei https://doaj.org/article/8d030c34b5554b8fb6b26531171cc562 kostenfrei http://www.sciencedirect.com/science/article/pii/S2405844024032912 kostenfrei https://doaj.org/toc/2405-8440 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_171 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 AR 10 2024 5 e27260-
language	English
source	In Heliyon 10(2024), 5, Seite e27260- volume:10 year:2024 number:5 pages:e27260-
sourceStr	In Heliyon 10(2024), 5, Seite e27260- volume:10 year:2024 number:5 pages:e27260-
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Chebyshev polynomials of the fifth kind Pseudo-operational matrix of integration Volterra integro-partial differential equations Error bound Science (General) Social sciences (General)
isfreeaccess_bool	true
container_title	Heliyon
authorswithroles_txt_mv	Khadijeh Sadri @@aut@@ David Amilo @@aut@@ Evren Hinçal @@aut@@ Kamyar Hosseini @@aut@@ Soheil Salahshour @@aut@@
publishDateDaySort_date	2024-01-01T00:00:00Z
hierarchy_top_id	835893197
id	DOAJ095680276
language_de	englisch
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callnumber-first	Q - Science
author	Khadijeh Sadri
spellingShingle	Khadijeh Sadri misc Q1-390 misc H1-99 misc Chebyshev polynomials of the fifth kind misc Pseudo-operational matrix of integration misc Volterra integro-partial differential equations misc Error bound misc Science (General) misc Social sciences (General) A generalized Chebyshev operational method for Volterra integro-partial differential equations with weakly singular kernels
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topic_title	Q1-390 H1-99 A generalized Chebyshev operational method for Volterra integro-partial differential equations with weakly singular kernels Chebyshev polynomials of the fifth kind Pseudo-operational matrix of integration Volterra integro-partial differential equations Error bound
topic	misc Q1-390 misc H1-99 misc Chebyshev polynomials of the fifth kind misc Pseudo-operational matrix of integration misc Volterra integro-partial differential equations misc Error bound misc Science (General) misc Social sciences (General)
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title	A generalized Chebyshev operational method for Volterra integro-partial differential equations with weakly singular kernels
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title_full	A generalized Chebyshev operational method for Volterra integro-partial differential equations with weakly singular kernels
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author_browse	Khadijeh Sadri David Amilo Evren Hinçal Kamyar Hosseini Soheil Salahshour
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title_sort	generalized chebyshev operational method for volterra integro-partial differential equations with weakly singular kernels
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title_auth	A generalized Chebyshev operational method for Volterra integro-partial differential equations with weakly singular kernels
abstract	Volterra integro-partial differential equations with weakly singular kernels (VIPDEWSK) are utilized to model diverse physical phenomena. A matrix collocation method is proposed for determining the approximate solution of this functional equation category. The method employs shifted Chebyshev polynomials of the fifth kind (SCPFK) to construct two-dimensional pseudo-operational matrices of integration, avoiding the need for explicit integration and thereby speeding up computations. Error bounds are examined in a Chebyshev-weighted space, providing insights into approximation accuracy. The approach is applied to several experimental examples, and the results are compared with those obtained using the Bernoulli wavelets and Legendre wavelets methods.
abstractGer	Volterra integro-partial differential equations with weakly singular kernels (VIPDEWSK) are utilized to model diverse physical phenomena. A matrix collocation method is proposed for determining the approximate solution of this functional equation category. The method employs shifted Chebyshev polynomials of the fifth kind (SCPFK) to construct two-dimensional pseudo-operational matrices of integration, avoiding the need for explicit integration and thereby speeding up computations. Error bounds are examined in a Chebyshev-weighted space, providing insights into approximation accuracy. The approach is applied to several experimental examples, and the results are compared with those obtained using the Bernoulli wavelets and Legendre wavelets methods.
abstract_unstemmed	Volterra integro-partial differential equations with weakly singular kernels (VIPDEWSK) are utilized to model diverse physical phenomena. A matrix collocation method is proposed for determining the approximate solution of this functional equation category. The method employs shifted Chebyshev polynomials of the fifth kind (SCPFK) to construct two-dimensional pseudo-operational matrices of integration, avoiding the need for explicit integration and thereby speeding up computations. Error bounds are examined in a Chebyshev-weighted space, providing insights into approximation accuracy. The approach is applied to several experimental examples, and the results are compared with those obtained using the Bernoulli wavelets and Legendre wavelets methods.
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title_short	A generalized Chebyshev operational method for Volterra integro-partial differential equations with weakly singular kernels
url	https://doi.org/10.1016/j.heliyon.2024.e27260 https://doaj.org/article/8d030c34b5554b8fb6b26531171cc562 http://www.sciencedirect.com/science/article/pii/S2405844024032912 https://doaj.org/toc/2405-8440
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A generalized Chebyshev operational method for Volterra integro-partial differential equations with weakly singular kernels

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