Locally explicit schemes for three-dimensional diffusion with a non-local boundary specification

DOI10.1016/S0096-3003(02)00165-0zbMath1027.65112MaRDI QIDQ1406156

Mehdi Dehghan

Publication date: 9 September 2003

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

zbMATH Keywords

comparison of methodsparabolic partial differential equationsnumerical experimentsfinite difference schemeslocally one-dimensional methodssecond-order accuracyexplicit schemestime splittingthree-dimensional diffusion equation

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (7)

Application of the Adomian decomposition method for two-dimensional parabolic equation subject to nonstandard boundary specifications ⋮ On the stability of a difference scheme for a two-dimensional parabolic equation with an integral condition ⋮ Alternating direction method for the Poisson equation with variable weight coefficients in an integral condition ⋮ The new alternating direction implicit difference methods for solving three-dimensional parabolic equations ⋮ Extrapolation algorithm of compact ADI approximation for two-dimensional parabolic equation ⋮ A fourth-order alternating-direction method for difference schemes with nonlocal condition ⋮ Stability of difference schemes for two-dimensional parabolic equations with non-local boundary conditions

Cites Work

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