The Homotopy Perturbation Method (HPM) is used to solve the Burgers-Huxley
non-linear differential equations. Three case study problems of Burgers-Huxley
are solved using the HPM and the exact solutions are obtained. The rapid
convergence towards the exact solutions of HPM is numerically shown. Results
show that the HPM is efficient method with acceptable accuracy to solve the
Burgers-Huxley equation. Also, the results prove that the method is an
efficient and powerful algorithm to construct the exact solution of non-linear
differential equations.
Description
On the Exact Solution of Burgers-Huxley Equation Using the Homotopy
Perturbation Method
%0 Generic
%1 nourazar2015exact
%A Nourazar, S. Salman
%A Soori, Mohsen
%A Nazari-Golshan, Akbar
%D 2015
%K myown
%R 10.4236/jamp.2015.33042
%T On the Exact Solution of Burgers-Huxley Equation Using the Homotopy
Perturbation Method
%U http://arxiv.org/abs/1503.07850
%X The Homotopy Perturbation Method (HPM) is used to solve the Burgers-Huxley
non-linear differential equations. Three case study problems of Burgers-Huxley
are solved using the HPM and the exact solutions are obtained. The rapid
convergence towards the exact solutions of HPM is numerically shown. Results
show that the HPM is efficient method with acceptable accuracy to solve the
Burgers-Huxley equation. Also, the results prove that the method is an
efficient and powerful algorithm to construct the exact solution of non-linear
differential equations.
@misc{nourazar2015exact,
abstract = {The Homotopy Perturbation Method (HPM) is used to solve the Burgers-Huxley
non-linear differential equations. Three case study problems of Burgers-Huxley
are solved using the HPM and the exact solutions are obtained. The rapid
convergence towards the exact solutions of HPM is numerically shown. Results
show that the HPM is efficient method with acceptable accuracy to solve the
Burgers-Huxley equation. Also, the results prove that the method is an
efficient and powerful algorithm to construct the exact solution of non-linear
differential equations.},
added-at = {2016-01-26T13:30:15.000+0100},
author = {Nourazar, S. Salman and Soori, Mohsen and Nazari-Golshan, Akbar},
biburl = {https://www.bibsonomy.org/bibtex/23b5d7ba31bb3b2a3521463d04519f169/mohsensoori},
description = {On the Exact Solution of Burgers-Huxley Equation Using the Homotopy
Perturbation Method},
doi = {10.4236/jamp.2015.33042},
interhash = {2ae0ba1291251cf2fedba2ca3ac5176a},
intrahash = {3b5d7ba31bb3b2a3521463d04519f169},
keywords = {myown},
note = {cite arxiv:1503.07850Comment: 10 pages. arXiv admin note: substantial text overlap with arXiv:1502.08016},
timestamp = {2016-01-26T13:30:15.000+0100},
title = {On the Exact Solution of Burgers-Huxley Equation Using the Homotopy
Perturbation Method},
url = {http://arxiv.org/abs/1503.07850},
year = 2015
}