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Computational Algorithm for MRLW equation using B-spline with BFRK scheme

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Abstract

In this paper, septic B-spline approach with linearization and without linearization technique with the help of Butcher’s fifth-order Runge–Kutta scheme is implemented to obtain solitary wave solutions of the modified regularized long wave equation. The error norms \({L}_{2}\) and \({L}_{\infty }\) and the three invariants \({I}_{1}\), \({I}_{2}\) and \({I}_{3}\) are computed on three tests to confirm about the efficiency and accuracy of the proposed methods. The stability analysis is performed using Von-Neumann technique on the linearized septic B-spline approach. The results of the present work are compared with the analytical and existing solutions.

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  1. Department of Mathematics, School of Applied Sciences, KIIT Deemed to Be University, Bhubaneswar, Odisha, 751024, India

    Saumya Ranjan Jena & Guesh Simretab Gebremedhin

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  1. Saumya Ranjan Jena
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  2. Guesh Simretab Gebremedhin
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All authors equally contributed to the study of conception and design. Material preparation, data collection and analysis were performed by both authors. All authors read and approved the final manuscript.

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Correspondence to Saumya Ranjan Jena.

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Jena, S.R., Gebremedhin, G.S. Computational Algorithm for MRLW equation using B-spline with BFRK scheme. Soft Comput 27, 11715–11730 (2023). https://doi.org/10.1007/s00500-023-07849-y

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