A Numerical Computation of a System of Linear and Nonlinear Time Dependent Partial Differential Equations Using Reduced Differential Transform Method

A Numerical Computation of a System of Linear and Nonlinear Time Dependent Partial Differential Equations Using Reduced Differential Transform Method

This paper deals with an analytical solution of an initial value system of time dependent linear and nonlinear partial differential equations by implementing reduced differential transform (RDT) method. The effectiveness and the convergence of RDT method are tested by means of five test problems, wh...

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Main Authors: Brajesh Kumar Singh, Mahendra
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2016/4275389
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spelling doaj-6afd7d659bc445a6a470fe10999d7e0d2020-11-24T23:59:03ZengHindawi LimitedInternational Journal of Differential Equations1687-96431687-96512016-01-01201610.1155/2016/42753894275389A Numerical Computation of a System of Linear and Nonlinear Time Dependent Partial Differential Equations Using Reduced Differential Transform MethodBrajesh Kumar Singh0Mahendra1Department of Applied Mathematics, School for Physical Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow, Uttar Pradesh 226025, IndiaDepartment of Applied Mathematics, School for Physical Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow, Uttar Pradesh 226025, IndiaThis paper deals with an analytical solution of an initial value system of time dependent linear and nonlinear partial differential equations by implementing reduced differential transform (RDT) method. The effectiveness and the convergence of RDT method are tested by means of five test problems, which indicates the validity and great potential of the reduced differential transform method for solving system of partial differential equations.http://dx.doi.org/10.1155/2016/4275389
collection DOAJ
language English
format Article
sources DOAJ
author Brajesh Kumar Singh
Mahendra
spellingShingle Brajesh Kumar Singh
Mahendra
A Numerical Computation of a System of Linear and Nonlinear Time Dependent Partial Differential Equations Using Reduced Differential Transform Method
International Journal of Differential Equations
author_facet Brajesh Kumar Singh
Mahendra
author_sort Brajesh Kumar Singh
title A Numerical Computation of a System of Linear and Nonlinear Time Dependent Partial Differential Equations Using Reduced Differential Transform Method
title_short A Numerical Computation of a System of Linear and Nonlinear Time Dependent Partial Differential Equations Using Reduced Differential Transform Method
title_full A Numerical Computation of a System of Linear and Nonlinear Time Dependent Partial Differential Equations Using Reduced Differential Transform Method
title_fullStr A Numerical Computation of a System of Linear and Nonlinear Time Dependent Partial Differential Equations Using Reduced Differential Transform Method
title_full_unstemmed A Numerical Computation of a System of Linear and Nonlinear Time Dependent Partial Differential Equations Using Reduced Differential Transform Method
title_sort numerical computation of a system of linear and nonlinear time dependent partial differential equations using reduced differential transform method
publisher Hindawi Limited
series International Journal of Differential Equations
issn 1687-9643
1687-9651
publishDate 2016-01-01
description This paper deals with an analytical solution of an initial value system of time dependent linear and nonlinear partial differential equations by implementing reduced differential transform (RDT) method. The effectiveness and the convergence of RDT method are tested by means of five test problems, which indicates the validity and great potential of the reduced differential transform method for solving system of partial differential equations.
url http://dx.doi.org/10.1155/2016/4275389
work_keys_str_mv AT brajeshkumarsingh anumericalcomputationofasystemoflinearandnonlineartimedependentpartialdifferentialequationsusingreduceddifferentialtransformmethod
AT mahendra anumericalcomputationofasystemoflinearandnonlineartimedependentpartialdifferentialequationsusingreduceddifferentialtransformmethod
AT brajeshkumarsingh numericalcomputationofasystemoflinearandnonlineartimedependentpartialdifferentialequationsusingreduceddifferentialtransformmethod
AT mahendra numericalcomputationofasystemoflinearandnonlineartimedependentpartialdifferentialequationsusingreduceddifferentialtransformmethod
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