ANALYTICAL SOLUTIONS FOR CAUCHY REACTION-DIFFUSION EQUATIONS
##plugins.themes.bootstrap3.article.main##
##plugins.themes.bootstrap3.article.sidebar##
Abstract
In this work  Homotopy Perturbation transform Method (HPTM) is used for analytical treatment of the Cauchy Reaction-Diffusion equations .This method is the combined form of Homotopy perturbation method and Laplace transform method. The Nonlinear terms can be easily decomposed by use of He’s polynomials. This method can provide analytical solutions to the problems by just utilizing the initial conditions. The proposed iterative scheme finds the solution without any discretization, linearization or restrictive assumptions. The proposed method solves nonlinear problems without using Adomain polynomials which is the advantage of this method over Adomain Decomposition method. The results reveal that the HPTM is very effective, simple, convenient, flexible and accurate. Outcomes prove that HPTM is in very good agreement with ADM, VIM and HPM.
How to Cite
##plugins.themes.bootstrap3.article.details##
COPYRIGHT AGREEMENT AND AUTHORSHIP RESPONSIBILITY
Â
All paper submissions must carry the following duly signed by all the authors:
“I certify that I have participated sufficiently in the conception and design of this work and the analysis of the data (wherever applicable), as well as the writing of the manuscript, to take public responsibility for it. I believe the manuscript represents valid work. I have reviewed the final version of the manuscript and approve it for publication. Neither has the manuscript nor one with substantially similar content under my authorship been published nor is being considered for publication elsewhere, except as described in an attachment. Furthermore I attest that I shall produce the data upon which the manuscript is based for examination by the editors or their assignees, if requested.â€