A numerical solution of Burger's equation by time discretization of Adomian's decomposition method

DOI10.1016/j.amc.2004.10.060zbMath1082.65576OpenAlexW2057317258MaRDI QIDQ2572001

Saeid Abbasbandy, Mohammad Taghi Darvishi

Publication date: 14 November 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2004.10.060

zbMATH Keywords

numerical resultsAdomian's decomposition methodBurger's equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (11)

Numerical solutions of two-dimensional Burgers' equations by discrete Adomian decomposition method ⋮ The pointwise estimates of a conservative difference scheme for Burgers' equation ⋮ Optimized decomposition method for solving multi-dimensional Burgers' equation ⋮ An efficient semi-analytical technique to solve multi-dimensional Burgers' equation ⋮ Artificial boundary conditions for the Burgers equation on the plane ⋮ Analytical solution of second-order hyperbolic telegraph equation by variational iteration and homotopy perturbation methods ⋮ On numerical solution of Burgers' equation by homotopy analysis method ⋮ Improved Adomian decomposition method (solving nonlinear non-homogeneous initial value problem) ⋮ Development of a model for the process of anaerobic digestion and its solution by the modified Adomian decomposition method ⋮ A difference scheme for Burgers equation in an unbounded domain ⋮ Local variably scaled Newton basis functions collocation method for solving Burgers' equation

Cites Work

• Unnamed Item
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• On the solution of algebraic equations by the decomposition method
• Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
• The group explicit method for the solution of Burger's equation
• Solutions of nonlinear P. D. E
• A finite element approach for solution of Burgers' equation
• A direct variational method applied to Burgers' equation
• Convergence of Adomian's Method
• Space‐time finite elements incorporating characteristics for the burgers' equation
• On a quasi-linear parabolic equation occurring in aerodynamics

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