Numerical solution of the Rosenau–KdV–RLW equation by operator splitting techniques based on B‐spline collocation method

DOI10.1002/num.22387zbMath1425.65125OpenAlexW2946580495WikidataQ115397863 ScholiaQ115397863MaRDI QIDQ5239827

Sibel Özer

Publication date: 22 October 2019

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22387

zbMATH Keywords

collocation methodtime splittingquintic B-spline functionsrosenau-KdV-RLW

Mathematics Subject Classification ID

Numerical computation using splines (65D07) KdV equations (Korteweg-de Vries equations) (35Q53) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (6)

Numerical solutions of generalized <scp>Rosenau–KDV–RLW</scp> equation by using Haar wavelet collocation approach coupled with nonstandard finite difference scheme and quasilinearization ⋮ A combined meshfree exponential Rosenbrock integrator for the third‐order dispersive partial differential equations ⋮ On the \(L^{\infty}\) convergence of a novel fourth-order compact and conservative difference scheme for the generalized Rosenau-KdV-RLW equation ⋮ Numerical solutions of nonhomogeneous Rosenau type equations by quintic B‐spline collocation method ⋮ An efficient Strang splitting technique combined with the multiquadric-radial basis function for the Burgers' equation ⋮ An efficient collocation algorithm with SSP-RK43 scheme to solve Rosenau-KdV-RLW equation

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