NUMERICAL STUDY OF ROSENAU-KDV EQUATION USING FINITE ELEMENT METHOD BASED ON COLLOCATION APPROACH

DOI10.3846/13926292.2017.1313329zbMath1488.35474OpenAlexW2614366477MaRDI QIDQ5015460

Samir Kumar Bhowmik, Seydi Battal Gazi Karakoc, S. Dhawan, Turgut Ak, Kamal R. Raslan

Publication date: 8 December 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2017.1313329

zbMATH Keywords

finite elementB-splinecollocation and dispersiveRosenau-KdV

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element methods applied to problems in fluid mechanics (76M10) Spline approximation (41A15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

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Cites Work

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• A three-level average implicit finite difference scheme to solve equation obtained by coupling the Rosenau-KdV equation and the Rosenau-RLW equation
• Additional conservation laws for Rosenau-KdV-RLW equation with power law nonlinearity by Lie symmetry
• Solitons and periodic solutions for the Rosenau-KdV and Rosenau-Kawahara equations
• Least-squares finite element methods
• An average linear difference scheme for the generalized Rosenau-KdV equation
• Higher order approximations in reductive perturbation method: strongly dispersive waves
• Conservative linear difference scheme for Rosenau-KdV equation
• An Introduction to Numerical Analysis
• Solitary Wave Solutions for Generalized Rosenau-KdV Equation
• Galerkin Finite Element Methods for Parabolic Problems

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