Heat equation and its comparative solutions

DOI10.1016/j.camwa.2007.11.028zbMath1142.65419OpenAlexW2018663652MaRDI QIDQ945198

Alice Gorguis, Wai Kit Benny Chan

Publication date: 11 September 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.11.028

zbMATH Keywords

partial differential equationsseparation of variables methodheat equationshomogeneous equationsnon-homogeneous equations

Mathematics Subject Classification ID

Heat equation (35K05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Cites Work

• Convergence of Adomian's method
• A review of the decomposition method in applied mathematics
• On the solution of partial differential equations with specified boundary conditions
• Convergence of Adomian's method applied to differential equations
• Exact solutions for heat-like and wave-like equations with variable coefficients.
• An analytic study of Fisher's equation by using Adomian decomposition method
• A comparison between Cole-Hopf transformation and the decomposition method for solving Burgers' equations
• Unnamed Item

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