Application of Variational Iteration Method to Fractional Hyperbolic Partial Differential Equations

Application of Variational Iteration Method to Fractional Hyperbolic Partial Differential Equations

The solution of the fractional hyperbolic partial differential equation is obtained by means of the variational iteration method. Our numerical results are compared with those obtained by the modified Gauss elimination method. Our results reveal that the technique introduced here is very effective,...

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Main Author: Fadime Dal
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2009/824385
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spelling doaj-5055a9c1785d469d8002109b7106560a2020-11-24T22:27:20ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472009-01-01200910.1155/2009/824385824385Application of Variational Iteration Method to Fractional Hyperbolic Partial Differential EquationsFadime Dal0Department of Mathematics, Ege University, Izmir, 35100 Bornova, TurkeyThe solution of the fractional hyperbolic partial differential equation is obtained by means of the variational iteration method. Our numerical results are compared with those obtained by the modified Gauss elimination method. Our results reveal that the technique introduced here is very effective, convenient, and quite accurate to one-dimensional fractional hyperbolic partial differential equations. Application of variational iteration technique to this problem has shown the rapid convergence of the sequence constructed by this method to the exact solution.http://dx.doi.org/10.1155/2009/824385
collection DOAJ
language English
format Article
sources DOAJ
author Fadime Dal
spellingShingle Fadime Dal
Application of Variational Iteration Method to Fractional Hyperbolic Partial Differential Equations
Mathematical Problems in Engineering
author_facet Fadime Dal
author_sort Fadime Dal
title Application of Variational Iteration Method to Fractional Hyperbolic Partial Differential Equations
title_short Application of Variational Iteration Method to Fractional Hyperbolic Partial Differential Equations
title_full Application of Variational Iteration Method to Fractional Hyperbolic Partial Differential Equations
title_fullStr Application of Variational Iteration Method to Fractional Hyperbolic Partial Differential Equations
title_full_unstemmed Application of Variational Iteration Method to Fractional Hyperbolic Partial Differential Equations
title_sort application of variational iteration method to fractional hyperbolic partial differential equations
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2009-01-01
description The solution of the fractional hyperbolic partial differential equation is obtained by means of the variational iteration method. Our numerical results are compared with those obtained by the modified Gauss elimination method. Our results reveal that the technique introduced here is very effective, convenient, and quite accurate to one-dimensional fractional hyperbolic partial differential equations. Application of variational iteration technique to this problem has shown the rapid convergence of the sequence constructed by this method to the exact solution.
url http://dx.doi.org/10.1155/2009/824385
work_keys_str_mv AT fadimedal applicationofvariationaliterationmethodtofractionalhyperbolicpartialdifferentialequations
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