Approximate analytic solutions for a two-dimensional mathematicalmodel of a packed-bed electrode using the Adomian decomposition method

DOI10.1016/j.amc.2009.05.012zbMath1175.65119OpenAlexW2081735331MaRDI QIDQ732485

Xiao-Ying Qin, Yan Ping Sun

Publication date: 9 October 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.05.012

zbMATH Keywords

numerical examplesNeumann boundary conditionsMATLABAdomian decomposition methodnon-standard boundary conditionssystem of second-order partial differential equationselectrochemical reactorscientific computational software

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Initial-boundary value problems for second-order hyperbolic equations (35L20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Uses Software

• Matlab

Cites Work

• An algorithm for Adomian decomposition method
• Numerical study using ADM for the modified regularized long wave equation
• Solutions to the non-homogeneous parabolic problems by the extended HADM
• A reliable modification of Adomian decomposition method
• Solving frontier problems of physics: the decomposition method
• Convergence of Adomian's method applied to differential equations
• The decomposition method applied to systems of partial differential equations and to the reaction-diffusion Brusselator model
• The modified decomposition method for solving nonlinear algebraic equations
• Solution of coupled nonlinear partial differential equations by decomposition
• The solution of coupled Burgers' equations using Adomian-Padé technique
• An extension of the decomposition method for solving nonlinear equations and its convergence
• Adomian method for a class of hyperbolic equations with an integral condition
• Adomian method for solving some coupled systems of two equations
• Series solution for porous medium equation with a source term by Adomian's decomposition method
• The modified decomposition method applied to unsteady flow of gas through a porous medium

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