Numerical solution of time- and space-fractional coupled Burgers’ equations via homotopy algorithm

Autor: Jagdev Singh, Devendra Kumar, Ram Swroop
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Alexandria Engineering Journal, Vol 55, Iss 2, Pp 1753-1763 (2016)
Druh dokumentu: article
ISSN: 1110-0168
DOI: 10.1016/j.aej.2016.03.028
Popis: In this paper, we constitute a homotopy algorithm basically extension of homotopy analysis method with Laplace transform, namely q-homotopy analysis transform method to solve time- and space-fractional coupled Burgers’ equations. The suggested technique produces many more opportunities by appropriate selection of auxiliary parameters ℏ and n(n⩾1) to solve strongly nonlinear differential equations. The proposed technique provides ℏ and n-curves, which describe that the convergence range is not a local point effects and finds elucidated series solution that makes it superior than HAM and other analytical techniques.
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