Analysis and numerical simulation of fractional Biswas–Milovic model

Amit Prakash and Hardish Kaur

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 181, issue C, 298-315

Abstract: In this paper, we investigate the fractional Biswas–Milovic model having Kerr and parabolic law nonlinearities via the application of fractional complex transform (FCT) coupled with the homotopy perturbation transform technique (HPTT). HPTT is a fusion of homotopy perturbation method with Laplace transform The obtained numerical results are demonstrated through graphs and tables. The numerical simulation results assure the reliability of the proposed technique with less computational time and high accuracy of the results. Also, comparative simulation studies have been performed to show that the proposed technique provides better approximations than the residual power series method (RPSM).

Keywords: Time-fractional Biswas–Milovic model; Fractional complex transform; Laplace transform; homotopy perturbation transform technique; Modified Riemann–Liouville fractional derivative (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:181:y:2021:i:c:p:298-315

DOI: 10.1016/j.matcom.2020.09.016

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