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Soft Computing

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05.02.2023 | Application of soft computing

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

verfasst von: Saumya Ranjan Jena, Guesh Simretab Gebremedhin

Erschienen in: Soft Computing | Ausgabe 16/2023

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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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Titel: Computational Algorithm for MRLW equation using B-spline with BFRK scheme
verfasst von: Saumya Ranjan Jena
Guesh Simretab Gebremedhin
Publikationsdatum: 05.02.2023
Verlag: Springer Berlin Heidelberg
Erschienen in: Soft Computing / Ausgabe 16/2023
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-023-07849-y

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