Analytical approaches to space- and time-fractional coupled Burgers’ equations

Pramana: Journal of physics

HODA F AHMED^1¹ 

[1] Mathematics Department, Faculty of Science, El-Minia University, El-Minia, Egypt^1

关键词: Laplace–Adomian decomposition method;    Laplace-variational iteration method;    reduced differential transform method;    Lagrange multiplier;    Caputo fractional derivative;    Burgers’ equations;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We solve the one- and two-dimensional fractional coupled Burgers’ equations (FCBEs) by three different methods. The proposed methods are the Laplace–Adomian decomposition method (LADM), the Laplace-variational iteration method (LVIM) and the reduced differential transform method (RDTM). The solutions are obtained as rapidly convergent series with simply calculable terms. Numerical studies of the application of theseapproaches for a number of sample problems are given and are illustrated graphically. With these methods, it is possible to investigate the nature of solutions when the fractional derivative parameters are changed. The numerical results reveal the effectiveness and the correctness of the proposed methods.

【 授权许可】

CC BY