An application of the LTDRM to transient diffusion problems with nonlinear material properties and nonlinear boundary conditions

DOI10.1016/S0096-3003(96)00226-3zbMath0907.65097OpenAlexW2011838386MaRDI QIDQ1126602

Pornchai Satravaha, Song-Ping Zhu

Publication date: 18 February 1999

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(96)00226-3

zbMATH Keywords

Laplace transformnumerical examplesnonlinear boundary conditionsdual reciprocity methoddiffusion problemsKirchhoff transformationnonlinear material properties

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items

A Laplace transform DRBEM with a predictor-corrector scheme for time-dependent infiltration from periodic channels with root-water uptake, A combination of LTDRM and ATPS in solving diffusion problems, Solving transient diffusion problems: Time-dependent fundamental solution approaches versus LTDRM approaches, Conduction and convection phenomena through a slab with thermal heterogeneities, Application of the Laplace transform dual reciprocity boundary element method in the modelling of laser heat treatments, Transient heat conduction under nonzero initial conditions: a solution using the boundary element method in the frequency domain, On the application of multiquadric bases in conjunction with the LTDRM method to solve nonlinear diffusion equations

Uses Software

• Algorithm 368

Cites Work

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