Comparing numerical methods for the solutions of two-dimensional diffusion with an integral condition

DOI10.1016/j.amc.2006.02.013zbMath1105.65103OpenAlexW2037094478MaRDI QIDQ856058

Ishak Hashim

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.02.013

zbMATH Keywords

comparison of methodsnumerical resultsAdomian decomposition methodfinite-difference methoddiffusion problemsparabolic PDEsnon-classical boundary conditionsintegral condition

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (6)

Solving nonlocal initial-boundary value problems for linear and nonlinear parabolic and hyperbolic partial differential equations by the Adomian decomposition method ⋮ Smoothing of Crank-Nicolson scheme for the two-dimensional diffusion with an integral condition ⋮ A meshless method for two-dimensional diffusion equation with an integral condition ⋮ An approximate analytic solution of the heat conduction equation at nanoscale ⋮ An efficient method for solving nonlocal initial-boundary value problems for linear and nonlinear first-order hyperbolic partial differential equations ⋮ An approximation of the analytic solution of some nonlinear heat transfer in fin and 3D diffusion equations using HAM

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