Laplace transform pairs of \(n\)-dimensions and heat conduction problem

DOI10.1016/0895-7177(90)90086-3zbMath0719.44002OpenAlexW2053599319MaRDI QIDQ2640091

R. S. Dahiya, M. Vinayagamoorthy

Publication date: 1990

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(90)90086-3

zbMATH Keywords

boundary value problemsheat conduction problemn-dimensional Laplace transformLaplace transform pairs

Mathematics Subject Classification ID

Heat equation (35K05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Laplace transform (44A10) Linear boundary value problems for ordinary differential equations (34B05) Multiple integral transforms (44A30)

Related Items (7)

Solution to time fractional partial differential equations and dynamical systems via integral transforms ⋮ Theorems onn-dimensional laplace transformations involving the solution of wave equations ⋮ A computational method for \(n\)-dimensional Laplace transforms involved with Fourier cosine transform ⋮ Solution to time fractional partial differential equations via joint Laplace-Fourier transforms ⋮ Special functions, integral transforms with applications ⋮ Alpha fractional frequency Laplace transform through multiseries ⋮ A transformation method for delta partial difference equations on discrete time scale

Cites Work

• Unnamed Item
• Laplace transform pairs of N-dimensions
• Some inverse Laplace transforms of exponential form
• An algorithm for generating some inverse Laplace transforms of exponential form
• Theorems on multidimensional Laplace transform for solution of boundary value problems
• The transient temperature field in a composite semi-space resulting from an incident heat flux
• Double Laplace Transformation in Mixed Boundary-Initial Value Problems

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