Numerical inversion of a Laplace transform solution of a diffusion equation with a mixed derivative term

DOI10.1016/j.amc.2008.12.037zbMath1161.65351OpenAlexW2030249131MaRDI QIDQ1008584

Renuka Ravindran, Ryan McIntyre, Ebrahim Momoniat

Publication date: 30 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.12.037

zbMATH Keywords

Laplace transformnumerical examplesdiffusion equationheat conductionmethod of linesnumerical inversionmixed derivative

Mathematics Subject Classification ID

Heat equation (35K05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Laplace transform (44A10) Numerical methods for integral transforms (65R10) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial value problems for higher-order parabolic equations (35K30)

Related Items (4)

A random Laplace transform method for solving random mixed parabolic differential problems ⋮ Hopscotch method: The numerical solution of the Frank-Kamenetskii partial differential equation ⋮ Peaceman‐Rachford ADI scheme for the two dimensional flow of a second‐grade fluid ⋮ Analysis of a mixed space-time diffusion equation

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