Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
827618 | Journal of King Saud University - Science | 2012 | 8 Pages |
Abstract
The homotopy analysis method (HAM) of S.J. Liao has proven useful in obtaining analytical/numerical solutions to various nonlinear differential equations. In this work, the HAM is employed to obtain the analytical/numerical solutions of the nonlinear reaction-diffusion equations with time-fractional derivatives. The fractional derivatives are described in the Caputo sense. This approach transforms the solution of nonlinear reaction-diffusion equations into the solution of a hierarchy of linear equations. The solution is simple yet highly accurate and compare favorably with the solutions obtained early in the literature.
Keywords
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Physical Sciences and Engineering
Chemistry
Chemistry (General)
Authors
Najeeb Alam Khan, Nasir-Uddin Khan, Asmat Ara, Muhammad Jamil,