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

By Jagdev Singh, Devendra Kumar, R. Swroop. 2016

175 citations recorded by the source corpus.

Abstract 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.

Subfields: Mechanics of Materials, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/e9fc2623c6c7292427bf2a43a646c2285b1fa456

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In Mechanics of Materials

In Modeling and Simulation

In Numerical Analysis

Citations in the corpus

A fractional model for propagation of classical optical solitons by using nonsingular derivative (2020, unknown): “The projected scheme is the mixture of q -HAM and LT. 40 Since this method is an enhanced method of HAM, it does not necessitate linearization, transformation, perturbation, or discretization.”
A powerful approach for fractional Drinfeld–Sokolov–Wilson equation with Mittag-Leffler law (2019, methodology): “The future algorithm is the combination of q-HAM with LT [49].”