Approximate analytical solutions of reaction-diffusion equations with exponential source term: Homotopy perturbation method (HPM)
type: Item
instance of: scholarly article
title: Approximate analytical solutions of reaction-diffusion equations with exponential source term: Homotopy perturbation method (HPM)
zbMATH Open document ID: 1221.34040
author: M. Zuilino
author: Suraju Olusegun Ajadi
published in: Applied Mathematics Letters
publication date: 2011-07-11T00:00:00Z
review text: The authors apply the homotopy perturbation method to obtain approximate analytical solutions to the following problems: \[ {du\over dx}+\delta e^u= 0,\quad u(0)= 0, \] \[ {d^2u\over dx^2}+ {\ell\over x} {du\over dx}+\delta x^{-\beta} e^u= 0,\quad {du\over dx}(0)= 0,\;u(1)= 0, \] \[ {\partial u\over\partial t}= {\partial^2u\over\partial x^2}+\delta e^u= 0,\quad u(x,0)={1\over 2} x(1-x), \] \[ {\partial u\over\partial x} (0,t)\equiv 0,\quad u(1,t)\equiv 0. \]
reviewed by: Klaus R. Schneider
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 34A12
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 35K20
zbMATH DE Number: 5919231
zbMATH Keywords: HPM
zbMATH Keywords: exponential source term
zbMATH Keywords: reaction-diffusion
zbMATH Keywords: combustion
MaRDI profile type: Publication
full work available at URL: j.aml.2011.04.003
OpenAlex ID: W2028837340
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DOI: 10.1016/J.AML.2011.04.003
description: scientific article; zbMATH DE number 5919231