Meshless spectral method for solution of time-fractional coupled KdV equations

DOI10.1016/j.amc.2018.09.001zbMath1429.65242OpenAlexW2892825666MaRDI QIDQ2007802

Sirajul Haq, Abdul Ghafoor, Manzoor Hussain

Publication date: 22 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.09.001

zbMATH Keywords

radial basis functionscoupled KdV equationsshallow water wavesCaputo fractional derivativemeshless spectral method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items

A new solution of time-fractional coupled KdV equation by using natural decomposition method ⋮ Petrov-Galerkin approximation of time-fractional coupled Korteweg-de Vries equation for propagation of long wave in shallow water ⋮ A high-order accurate finite difference scheme for the KdV equation with time-periodic boundary forcing ⋮ Meshless RBFs method for numerical solutions of two-dimensional high order fractional Sobolev equations ⋮ Blowing-up solutions of the time-fractional dispersive equations ⋮ Numerical solutions of time-fractional coupled viscous Burgers' equations using meshfree spectral method ⋮ The meshless Kansa method for time-fractional higher order partial differential equations with constant and variable coefficients ⋮ Application of meshfree spectral method for the solution of multi-dimensional time-fractional Sobolev equations ⋮ Jacobi spectral discretization for nonlinear fractional generalized seventh-order KdV equations with convergence analysis

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