Adomian's decomposition method applied to systems of nonlinear algebraic equations

DOI10.1016/S0096-3003(03)00729-XzbMath1058.65056OpenAlexW1997274606MaRDI QIDQ1883204

Doǧan Kaya, Salah M. El-Sayed

Publication date: 1 October 2004

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00729-x

zbMATH Keywords

algorithmconvergencenumerical examplesAdomian's decomposition methodsystem of nonlinear algebraic equations

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Related Items (11)

A global convergent derivative-free method for solving a system of non-linear equations ⋮ An efficient algorithm for the multivariable Adomian polynomials ⋮ Unified ball convergence of third and fourth convergence order algorithms under $omega-$continuity conditions ⋮ New iterative technique for solving a system of nonlinear equations ⋮ Efficient method for solving a system of nonlinear equations ⋮ Approximate explicit analytical expressions of friction factor for flow of Bingham fluids in smooth pipes using Adomian decomposition method ⋮ Global error minimization method for solving strongly nonlinear oscillator differential equations ⋮ On new iterative method for solving systems of nonlinear equations ⋮ A probabilistic approach to Adomian polynomials ⋮ Unnamed Item ⋮ A combined technique for computation of energy-effect of cycles in conjugated molecules

Cites Work

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• Nonlinear CG-like iterative methods
• Solving frontier problems of physics: the decomposition method
• An application of the decomposition method for the generalized KdV and RLW equations
• Global methods for solving systems of nonlinear algebraic equations
• An application for a generalized KdV equation by the decomposition method
• Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations
• A new modification of the Adomian decomposition method for linear and nonlinear operators
• The modified decomposition method for solving nonlinear algebraic equations
• Extension of the Lanczos and CGS methods to systems of nonlinear equations
• Generalized conjugate gradient squared
• Convergence of the conjugate gradient method with computationally convenient modifications
• Convergence of Adomian’s method applied to algebraic equations
• Hybrid Krylov Methods for Nonlinear Systems of Equations
• On the solution of a korteweg-de vries like equation by the decomposition method
• A review of the decomposition method and some recent results for nonlinear equations
• Newton-preconditioned Krylov subspace solvers for system of nonlinear equations: A numerical experiment

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