An operator splitting-radial basis function method for the solution of transient nonlinear Poisson problems

DOI10.1016/S0898-1221(01)00287-5zbMath0999.65111OpenAlexW2009174503MaRDI QIDQ1609096

Palghat A. Ramachandran, Radhakrishna Sureshkumar, Karthik Balakrishnan

Publication date: 15 August 2002

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(01)00287-5

zbMATH Keywords

numerical examplesradial basis functionsoperator splittingHelmholtz equationmethod of fundamental solutionsnonlinear Poisson problemparticular solution methodheat and mass transferconvection-diffusion-reaction equationAdams-Bashforth time marching

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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