A weighted algorithm based on Adomian decomposition method for solving an special class of evolution equations

DOI10.1016/j.cnsns.2008.04.004zbMath1221.35202OpenAlexW2020812299MaRDI QIDQ716637

M. Garshasbi, Abdollah Shidfar

Publication date: 30 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2008.04.004

zbMATH Keywords

evolution equationAdomian decomposition methodnonlinear advectiondiffusion and reaction equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Other special methods applied to PDEs (35A25)

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Cites Work

• Unnamed Item
• Unnamed Item
• Convergent series solution of nonlinear equations
• Solving frontier problems modelled by nonlinear partial differential equations
• The decomposition approach to inverse heat conduction
• A reliable modification of Adomian decomposition method
• Nonlinear transport in moving fluids
• A convergence analysis of the ADM and an application
• A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations
• A new modification of the Adomian decomposition method for linear and nonlinear operators
• New ideas for proving convergence of decomposition methods
• A nonstandard finite difference scheme for a PDE modeling combustion with nonlinear advection and diffusion
• A numerical scheme for solving special class of nonlinear diffusion-convection equation
• A review of the decomposition method and some recent results for nonlinear equations

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