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Numerical soliton solutions of fractional Newell–Whitehead–Segel equation in binary fluid mixtures

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Abstract

In this paper, the time-fractional Newell–Whitehead–Segel equation has been solved numerically using the Kansa-radial basis function collocation method. In the numerical scheme, the finite difference approach and the Kansa method have been utilized for the temporal and spatial discretization, respectively. The unconditional stability and convergence of the time-discretized scheme are also proven in this paper. In addition, the Kudryashov technique has been employed to acquire the soliton solutions for comparison with the numerical results. Numerical experiments are performed to establish the good accuracy of the proposed scheme.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology, Rourkela, 769008, India

    B Sagar & S. Saha Ray

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  1. B Sagar
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  2. S. Saha Ray
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Correspondence to S. Saha Ray.

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Communicated by Vasily E. Tarasov.

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Sagar, B., Ray, S.S. Numerical soliton solutions of fractional Newell–Whitehead–Segel equation in binary fluid mixtures. Comp. Appl. Math. 40, 290 (2021). https://doi.org/10.1007/s40314-021-01676-3

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  • DOI: https://doi.org/10.1007/s40314-021-01676-3

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