Title of article :
Analytical Solution for Cauchy Reaction-Diffusion Problems by Homotopy Perturbation Method (Penyelesaian Beranalisis Bagi Masalah Tindak Balas-resapan Cauchy dengan Kaedah Usikan Homotopi)
Author/Authors :
CHOWDHURY, M.S.H. International Islamic University Malaysia - Faculty of Engineering - Department of Science in Engineering, Malaysia , HASHIM, I. Universiti Kebangsaan Malaysia - School of Mathematical Sciences - Centre for Modelling Data Analysis, Malaysia
Abstract :
In this paper, the homotopy-perturbation method (HPM) is applied to obtain approximate analytical solutions for the Cauchy reaction-diffusion problems. HPM yields solutions in convergent series forms with easily computable terms. The HPM is tested for several examples. Comparisons of the results obtained by the HPM with that obtained by the Adomian decomposition method (ADM), homotopy analysis method (HAM) and the exact solutions show the efficiency of HPM
Keywords :
Cauchy problems , Homotopy , perturbation method , reaction , diffusion equation
Journal title :
Sains Malaysiana
Journal title :
Sains Malaysiana
