A boundary only procedure for time-dependent diffusion equations

DOI10.1016/0307-904X(88)90056-XzbMath0665.65089OpenAlexW2009720401MaRDI QIDQ1116310

Mustafa M. Aral, Yi Tang

Publication date: 1988

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0307-904x(88)90056-x

zbMATH Keywords

boundary element methoddiffusion equationheat transferNumerical results

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Heat equation (35K05) Integral representations of solutions to PDEs (35C15) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items

Least squares finite element formulation in the time domain for the dual reciprocity boundary element method in heat conduction ⋮ A boundary-only procedure for transient transport problems with or without first-order chemical reaction ⋮ Dual reciprocity boundary element analysis of nonlinear diffusion: Temporal discretization ⋮ Dual reciprocity boundary element analysis of transient advection‐diffusion

Cites Work

• Solution of parabolic differential equations by the boundary element method using discretisation in time
• The use of fundamental Green's functions for the solution of problems of heat conduction in anisotropic media
• An integral formulation applied to the diffusion and Boussinesq equations
• A method of solution for certain problems of transient heat conduction
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