Stefan problem solved by Adomian decomposition method

DOI10.1080/00207160512331331075zbMath1075.65126OpenAlexW2082066977MaRDI QIDQ5466767

Damian Słota, R. Grzymkowski

Publication date: 25 August 2005

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160512331331075

zbMATH Keywords

numerical exampleStefan problemAdomian decomposition methodmoving interfacefreezing front

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Free boundary problems for PDEs (35R35)

Related Items (12)

Approximate analytical solutions for a shrinking core model for the discharge of a lithium iron-phosphate electrode by the Adomian decomposition method ⋮ INverse problem of identifying a time-dependent coefficient and free boundary in heat conduction equation by using the meshless local Petrov-Galerkin (MLPG) method via moving least squares approximation ⋮ The solution of two-phase inverse Stefan problem based on a hybrid method with optimization ⋮ Comparison between Adomian decomposition method and optimal homotopy asymptotic method for a two moving boundaries problem ⋮ On the Adomian decomposition method for solving the Stefan problem ⋮ Comparison of the Adomian decomposition method and the variational iteration method in solving the moving boundary problem ⋮ Direct and inverse one-phase Stefan problem solved by the variational iteration method ⋮ Series solution of nonlinear differential equations by a novel extension of the Laplace transform method ⋮ One-phase inverse Stefan problem solved by Adomian decomposition method ⋮ A new application of He's variational iteration method for the solution of the one-phase Stefan problem ⋮ Comparing the Adomian decomposition method and the Runge–Kutta method for solutions of the Stefan problem ⋮ Approximate analytic solutions for the two-phase Stefan problem using the Adomian decomposition method

Cites Work

• Solving frontier problems of physics: the decomposition method
• Solution of a system of Volterra integral equations of the first kind by Adomian method
• Convergence of Adomian's decomposition method: periodic temperatures.
• Numerical solution of a viscous incompressible flow problem through an orifice by Adomian decomposition method
• A New Approach to the Gas Dynamics Equation: An Application of the Decomposition Method
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