Second-order schemes for a boundary value problem with Neumann's boundary conditions

DOI10.1016/S0377-0427(00)00452-0zbMath0993.65089MaRDI QIDQ5957948

Mehdi Dehghan

Publication date: 26 September 2002

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

zbMATH Keywords

stabilityconvergencenumerical exampleparabolic partial differential equationsdiffusion equationfinite difference methodsalternating direction implicit schemescentral processor timeimplicit techniquesNeumann's boundary conditionsnonlocal boundary value problemstwo-dimensional heat equation

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (5)

MLPG method for two-dimensional diffusion equation with Neumann's and non-classical boundary conditions ⋮ The operational matrices of Bernstein polynomials for solving the parabolic equation subject to specification of the mass ⋮ Radial basis functions method for solving of a non-local boundary value problem with Neumann's boundary conditions ⋮ Galerkin method applied to telegraph integro-differential equation with a weighted integral condition ⋮ Numerical solution of time-dependent diffusion equations with nonlocal boundary conditions via a fast matrix approach

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