A Novel Multistep Iterative Technique for Models in Medical Sciences with Complex Dynamics

This paper proposes a three-step iterative technique for solving nonlinear equations from medical science. We designed the proposed technique by blending the well-known Newton’s method with an existing two-step technique. The method needs only five evaluations per iteration: three for the given func...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Sania Qureshi [verfasserIn] Amanullah Soomro [verfasserIn] Asif Ali Shaikh [verfasserIn] Evren Hincal [verfasserIn] Nezihal Gokbulut [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Übergeordnetes Werk:	In: Computational and Mathematical Methods in Medicine - Hindawi Limited, 2011, (2022)
Übergeordnetes Werk:	year:2022

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.1155/2022/7656451

Katalog-ID:	DOAJ034762620

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allfieldsSound	10.1155/2022/7656451 doi (DE-627)DOAJ034762620 (DE-599)DOAJfdcd838e994f48a98a9e037a6603eaa5 DE-627 ger DE-627 rakwb eng R858-859.7 Sania Qureshi verfasserin aut A Novel Multistep Iterative Technique for Models in Medical Sciences with Complex Dynamics 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper proposes a three-step iterative technique for solving nonlinear equations from medical science. We designed the proposed technique by blending the well-known Newton’s method with an existing two-step technique. The method needs only five evaluations per iteration: three for the given function and two for its first derivatives. As a result, the novel approach converges faster than many existing techniques. We investigated several models of applied medical science in both scalar and vector versions, including population growth, blood rheology, and neurophysiology. Finally, some complex-valued polynomials are shown as polynomiographs to visualize the convergence zones. Computer applications to medicine. Medical informatics Amanullah Soomro verfasserin aut Asif Ali Shaikh verfasserin aut Evren Hincal verfasserin aut Nezihal Gokbulut verfasserin aut In Computational and Mathematical Methods in Medicine Hindawi Limited, 2011 (2022) (DE-627)519764781 (DE-600)2256917-0 1748670X nnns year:2022 https://doi.org/10.1155/2022/7656451 kostenfrei https://doaj.org/article/fdcd838e994f48a98a9e037a6603eaa5 kostenfrei http://dx.doi.org/10.1155/2022/7656451 kostenfrei https://doaj.org/toc/1748-6718 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_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_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 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_2031 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2061 GBV_ILN_2111 GBV_ILN_2113 GBV_ILN_2190 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_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2022
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author	Sania Qureshi
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topic_title	R858-859.7 A Novel Multistep Iterative Technique for Models in Medical Sciences with Complex Dynamics
topic	misc R858-859.7 misc Computer applications to medicine. Medical informatics
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title	A Novel Multistep Iterative Technique for Models in Medical Sciences with Complex Dynamics
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title_full	A Novel Multistep Iterative Technique for Models in Medical Sciences with Complex Dynamics
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title_sort	novel multistep iterative technique for models in medical sciences with complex dynamics
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title_auth	A Novel Multistep Iterative Technique for Models in Medical Sciences with Complex Dynamics
abstract	This paper proposes a three-step iterative technique for solving nonlinear equations from medical science. We designed the proposed technique by blending the well-known Newton’s method with an existing two-step technique. The method needs only five evaluations per iteration: three for the given function and two for its first derivatives. As a result, the novel approach converges faster than many existing techniques. We investigated several models of applied medical science in both scalar and vector versions, including population growth, blood rheology, and neurophysiology. Finally, some complex-valued polynomials are shown as polynomiographs to visualize the convergence zones.
abstractGer	This paper proposes a three-step iterative technique for solving nonlinear equations from medical science. We designed the proposed technique by blending the well-known Newton’s method with an existing two-step technique. The method needs only five evaluations per iteration: three for the given function and two for its first derivatives. As a result, the novel approach converges faster than many existing techniques. We investigated several models of applied medical science in both scalar and vector versions, including population growth, blood rheology, and neurophysiology. Finally, some complex-valued polynomials are shown as polynomiographs to visualize the convergence zones.
abstract_unstemmed	This paper proposes a three-step iterative technique for solving nonlinear equations from medical science. We designed the proposed technique by blending the well-known Newton’s method with an existing two-step technique. The method needs only five evaluations per iteration: three for the given function and two for its first derivatives. As a result, the novel approach converges faster than many existing techniques. We investigated several models of applied medical science in both scalar and vector versions, including population growth, blood rheology, and neurophysiology. Finally, some complex-valued polynomials are shown as polynomiographs to visualize the convergence zones.
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title_short	A Novel Multistep Iterative Technique for Models in Medical Sciences with Complex Dynamics
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A Novel Multistep Iterative Technique for Models in Medical Sciences with Complex Dynamics

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