A novel technique for (2+1)-dimensional time-fractional coupled Burgers equations

P. Veeresha and D.G. Prakasha

Mathematics and Computers in Simulation (MATCOM), 2019, vol. 166, issue C, 324-345

Abstract: In the present work, the numerical solutions for time-fractional coupled Burgers equations are obtained with the aid of q-homotopy analysis transform method (q-HATM). The study of coupled Burgers equations plays a vital role in a model of evolution of the scaled volume concentration or sedimentation of the two kind particles in fluid suspensions of colloids, under the effect of gravity. In this paper, the fractional derivative is considered in Caputo sense and the proposed algorithm is an elegant mixture of homotopy analysis technique with Laplace transform. The convergence analysis for the proposed algorithm is demonstrated. The obtained solutions are presented in a series form, which converges swiftly. In order to verify the proposed technique is reliable and accurate, the numerical simulations have been conducted. The results of the study divulge that, the future technique is computationally very effective and more accurate to analyse fractional nonlinear coupled Burgers differential equations.

Keywords: Time-fractional coupled Burgers equations; Caputo fractional derivative; q-homotopy analysis transform method; Numerical solutions; Convergence analysis (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:166:y:2019:i:c:p:324-345

DOI: 10.1016/j.matcom.2019.06.005

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