×

He’s homotopy perturbation method for the reaction-type equation. (English) Zbl 1278.35042

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
PDFBibTeX XMLCite
Full Text: Link