QUADRATIC TRIGONOMETRIC B-SPLINE GALERKIN METHODS FOR THE REGULARIZED LONG WAVE EQUATION

DOI10.11948/2017038zbMath1474.65352OpenAlexW2598931067MaRDI QIDQ5149592

Pınar Keskin, Dursun Irk

Publication date: 11 February 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2017038

zbMATH Keywords

finite element methodspline approximationsolitary waves equation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) KdV equations (Korteweg-de Vries equations) (35Q53) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spline approximation (41A15) Solitary waves in solid mechanics (74J35) Soliton solutions (35C08)

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Trigonometric quinticB-spline collocation method for singularly perturbed turning point boundary value problems ⋮ Integration of the RLW equation using higher-order predictor-corrector scheme and quintic B-spline collocation method ⋮ A new energy conservative scheme for regularized long wave equation. ⋮ Quartic trigonometric B-spline algorithm for numerical solution of the regularized long wave equation ⋮ Higher order trigonometric B-spline algorithms to the solution of coupled Burgers’ equation

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