A meshless method for numerical solution of the coupled Schrödinger-KdV equations

DOI10.1007/s00607-010-0138-4zbMath1233.65074OpenAlexW1970415403MaRDI QIDQ644872

Ahmad Golbabai, Ali Safdari-Vaighani

Publication date: 7 November 2011

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-010-0138-4

zbMATH Keywords

stabilitycollocation methodcomparison of methodsfinite element methodnumerical experimentsradial basis functiona priori error estimatesmeshless methodcoupled Schrödinger-Korteveg-de Vries (KdV) equationsfinite difference Crank-Nicolson scheme

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) 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)

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