Numerical Approximation of Generalized Burger’s-Fisher and Generalized Burger’s-Huxley Equation by Compact Finite Difference Method

In this work, computational analysis of generalized Burger’s-Fisher and generalized Burger’s-Huxley equation is carried out using the sixth-order compact finite difference method. This technique deals with the nonstandard discretization of the spatial derivatives and optimized time integration using...

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Autores principales:	Ravneet Kaur, null Shallu, Sachin Kumar, V. K. Kukreja
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/18c3f12a85b44107a6cfba49ae89d18a
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spelling	oai:doaj.org-article:18c3f12a85b44107a6cfba49ae89d18a2021-11-22T01:11:26ZNumerical Approximation of Generalized Burger’s-Fisher and Generalized Burger’s-Huxley Equation by Compact Finite Difference Method1687-913910.1155/2021/3346387https://doaj.org/article/18c3f12a85b44107a6cfba49ae89d18a2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/3346387https://doaj.org/toc/1687-9139In this work, computational analysis of generalized Burger’s-Fisher and generalized Burger’s-Huxley equation is carried out using the sixth-order compact finite difference method. This technique deals with the nonstandard discretization of the spatial derivatives and optimized time integration using the strong stability-preserving Runge-Kutta method. This scheme inculcates four stages and third-order accuracy in the time domain. The stability analysis is discussed using eigenvalues of the coefficient matrix. Several examples are discussed for their approximate solution, and comparisons are made to show the efficiency and accuracy of CFDM6 with the results available in the literature. It is found that the present method is easy to implement with less computational effort and is highly accurate also.Ravneet Kaurnull ShalluSachin KumarV. K. KukrejaHindawi LimitedarticlePhysicsQC1-999ENAdvances in Mathematical Physics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Ravneet Kaur null Shallu Sachin Kumar V. K. Kukreja Numerical Approximation of Generalized Burger’s-Fisher and Generalized Burger’s-Huxley Equation by Compact Finite Difference Method
description	In this work, computational analysis of generalized Burger’s-Fisher and generalized Burger’s-Huxley equation is carried out using the sixth-order compact finite difference method. This technique deals with the nonstandard discretization of the spatial derivatives and optimized time integration using the strong stability-preserving Runge-Kutta method. This scheme inculcates four stages and third-order accuracy in the time domain. The stability analysis is discussed using eigenvalues of the coefficient matrix. Several examples are discussed for their approximate solution, and comparisons are made to show the efficiency and accuracy of CFDM6 with the results available in the literature. It is found that the present method is easy to implement with less computational effort and is highly accurate also.
format	article
author	Ravneet Kaur null Shallu Sachin Kumar V. K. Kukreja
author_facet	Ravneet Kaur null Shallu Sachin Kumar V. K. Kukreja
author_sort	Ravneet Kaur
title	Numerical Approximation of Generalized Burger’s-Fisher and Generalized Burger’s-Huxley Equation by Compact Finite Difference Method
title_short	Numerical Approximation of Generalized Burger’s-Fisher and Generalized Burger’s-Huxley Equation by Compact Finite Difference Method
title_full	Numerical Approximation of Generalized Burger’s-Fisher and Generalized Burger’s-Huxley Equation by Compact Finite Difference Method
title_fullStr	Numerical Approximation of Generalized Burger’s-Fisher and Generalized Burger’s-Huxley Equation by Compact Finite Difference Method
title_full_unstemmed	Numerical Approximation of Generalized Burger’s-Fisher and Generalized Burger’s-Huxley Equation by Compact Finite Difference Method
title_sort	numerical approximation of generalized burger’s-fisher and generalized burger’s-huxley equation by compact finite difference method
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/18c3f12a85b44107a6cfba49ae89d18a
work_keys_str_mv	AT ravneetkaur numericalapproximationofgeneralizedburgersfisherandgeneralizedburgershuxleyequationbycompactfinitedifferencemethod AT nullshallu numericalapproximationofgeneralizedburgersfisherandgeneralizedburgershuxleyequationbycompactfinitedifferencemethod AT sachinkumar numericalapproximationofgeneralizedburgersfisherandgeneralizedburgershuxleyequationbycompactfinitedifferencemethod AT vkkukreja numericalapproximationofgeneralizedburgersfisherandgeneralizedburgershuxleyequationbycompactfinitedifferencemethod
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Numerical Approximation of Generalized Burger’s-Fisher and Generalized Burger’s-Huxley Equation by Compact Finite Difference Method

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