Ghanmi, Imed; Boukricha, Abderrahmen He’s homotopy perturbation method for the reaction-type equation. (English) Zbl 1278.35042 Int. J. Math. Anal., Ruse 6, No. 57-60, 2841-2856 (2012). Summary: A numerical solution of reaction-diffusion type equation is studied by using the homotopy perturbation method (HPM). For this propose, the exact solution will be compared to show the validity and accuracy of the proposed numerical algorithm. The results approve the convergence and accuracy of the homotopy perturbation method for the numerical analyzed reaction-diffusion type equation. MSC: 35C05 Solutions to PDEs in closed form 35K57 Reaction-diffusion equations 35K20 Initial-boundary value problems for second-order parabolic equations Keywords:homotopy perturbation method; \((1+1)\)-dimensional reaction-diffusion Equation, HPM, evolutionary equation PDFBibTeX XMLCite \textit{I. Ghanmi} and \textit{A. Boukricha}, Int. J. Math. Anal., Ruse 6, No. 57--60, 2841--2856 (2012; Zbl 1278.35042) Full Text: Link