Solution of the heat equation with variable properties by two-step Adomian decomposition method

DOI10.1016/j.mcm.2007.09.003zbMath1145.65324OpenAlexW2019193569MaRDI QIDQ949521

B. E. Eshmatov

Publication date: 21 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.mcm.2007.09.003

zbMATH Keywords

heat equationAdomian decomposition methodeigenfunction expansion method

Mathematics Subject Classification ID

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

Related Items (6)

On series solution for second order semilinear parabolic IBVPs ⋮ On the heat equation with variable properties (applying a WKB method involving turning points) ⋮ On variational iterative methods for semilinear problems ⋮ Symbolic computation of analytic approximate solutions for nonlinear differential equations with initial conditions ⋮ Solutions of Volterra integral and integro-differential equations using modified Laplace Adomian decomposition method ⋮ Numerical solution of transient heat conduction equation with variable thermophysical properties by the Tau method

Cites Work

• Equality of partial solutions in the decomposition method for linear or nonlinear partial differential equations
• A reliable modification of Adomian decomposition method
• Modified Adomian polynomials
• The solution of two dimensional nonlinear differential equation by the Adomian decomposition method
• Analytic solution of nonlinear boundary-value problems in serveral dimensions by decomposition
• The modified decomposition method for analytic treatment of differential equations
• Experimentation with two-step Adomian decomposition method to solve evolution models
• The restrictions and improvement of the Adomian decomposition method
• Revisit on partial solutions in the Adomian decomposition method: solving heat and wave equations
• A two-step Adomian decomposition method

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