Decomposition method for solving parabolic equations in finite domains

DOI10.1631/jzus.2005.A1058zbMath1088.35503OpenAlexW2062890749MaRDI QIDQ3368100

Mustafa Inc

Publication date: 27 January 2006

Published in: Journal of Zhejiang University-SCIENCE A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1631/jzus.2005.a1058

zbMATH Keywords

Adomian decomposition methodAdomian polynomialsWavelet-Galerkin method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Theoretical approximation in context of PDEs (35A35) Other special methods applied to PDEs (35A25)

Related Items (3)

Adomian decomposition method by Gegenbauer and Jacobi polynomials ⋮ The solution of fourth order boundary value problem arising out of the beam-column theory using Adomian decomposition method ⋮ Solutions to the non-homogeneous parabolic problems by the extended HADM

Cites Work

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• A numerical procedure for diffusion subject to the specification of mass
• Application of the decomposition method to identify the distributed parameters of an elliptical equation
• A comparison of Adomian's decomposition method and wavelet-Galerkin method for solving integro-differential equations
• The decomposition method for forward and backward time-dependent problems
• Modelling of the thermic exchanges during a drilling. Resolution with Adomian's decomposition method
• An implicit finite difference scheme for the diffusion equation subject to mass specification
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• Convergence of Adomian's Method
• A reaction-diffusion system arising in modelling man-environment diseases
• The decomposition method applied to the Cauchy problem
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• New numerical study of Adomian method applied to a diffusion model
• Wavelet-Galerkin method for solving parabolic equations in finite domains
• Fully explicit finite-difference methods for two-dimensional diffusion with an integral condition

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