Numerical solutions of the Kawahara type equations using radial basis functions
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Publication:2885160
DOI10.1002/num.20633zbMath1242.65207OpenAlexW2132173082MaRDI QIDQ2885160
Publication date: 21 May 2012
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.20633
collocation methodnumerical examplesradial basis functionsmeshless methodKawahara equationKorteweg-de Vriestravelling wave solution
KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (12)
Nonic B-spline algorithms for numerical solution of the Kawahara equation ⋮ Bell-shaped soliton solutions and travelling wave solutions of the fifth-order nonlinear modified Kawahara equation ⋮ A composite method based on delta‐shaped basis functions and Lie group high‐order geometric integrator for solving Kawahara‐type equations ⋮ Numerical solution by quintic B-spline collocation finite element method of generalized Rosenau-Kawahara equation ⋮ A Legendre dual-Petrov-Galerkin spectral element method for the Kawahara-type equations ⋮ Fourier splitting method for Kawahara type equations ⋮ Highly efficient approach to numerical solutions of two different forms of the modified Kawahara equation via contribution of two effective methods ⋮ Well-posedness of the classical solutions for a Kawahara-Korteweg-de Vries-type equation ⋮ Numerical approximation of modified Kawahara equation using kernel smoothing method ⋮ On the solutions for a Benney-Lin type equation ⋮ Numerical solution of time-fractional Kawahara equation using reproducing kernel method with error estimate ⋮ Global H4 solution for the fifth-order Kudryashov–Sinelshchikov–Olver equation
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