Modified variational iteration method for solving nonlinear partial differential equation using Adomian polynomials

Date
2019-08
Authors
Ojobor, Sunday Amaju
Obihia, Austine
Journal Title
Journal ISSN
Volume Title
Publisher
Strathmore University
Abstract
The aim of this paper is to solve numerically the Cauchy problems of nonlinear partial differential equation (PDE) in a modified variational iteration approach. For this purpose, the standard variational iteration method (VIM) is modified using the standard Adomian polynomials in decomposing the nonlinear terms of the PDE. Hence, the modified VIM was used to solve nonlinear PDEs with the aid of Maple 18 software, and resulting numerical evidences were compared with the standard VIM to convergence, accuracy and effectiveness. The results obtained show that the modified VIM is a better approximant of the above nonlinear equation than the traditional VIM.
Description
Paper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenya
Keywords
Iteration method, Equations
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