Application of the Laplace transform to nonlinear transient problems

DOI10.1016/0307-904X(91)90023-IzbMath0731.65106OpenAlexW1966328147MaRDI QIDQ808200

Han-Taw Chen, Jae-Yuh Lin

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0307-904x(91)90023-i

zbMATH Keywords

Laplace transformfinite difference methodnumerical examplesmethod of linesboundary conditions of the third kindnonlinear transient problemsnumerical convergence criterion

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Numerical methods for initial value problems involving ordinary differential equations (65L05) Laplace transform (44A10) Numerical methods for integral transforms (65R10) Applications to the sciences (65Z05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Cites Work

• A method for the numerical inversion of Laplace transforms
• A formulation of the boundary element method for axisymmetric transient heat conduction
• On a direct variational method for nonlinear heat transfer
• A LITERATURE SURVEY ON NUMERICAL HEAT TRANSFER (1982-1983)
• Efficient method for solution of nonlinear heat conduction problems
• Numerical Inversion of Laplace Transforms: An Efficient Improvement to Dubner and Abate's Method
• Numerical Inversion of Laplace Transforms by Relating Them to the Finite Fourier Cosine Transform