New results for the Adomian method

DOI10.1108/03684920010795303zbMath0965.65087OpenAlexW2053085265MaRDI QIDQ4503194

Salim Khelifa, Yves Cherruault

Publication date: 2 August 2001

Published in: Kybernetes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/03684920010795303

zbMATH Keywords

error boundnonlinear operatorAdomian decomposition methodBell polynomialsnonlinear functional equationcanonical formAdomian polynomialsAbbaoui-Cherruault numbersmicrochip laser problem

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (11)

Approximation of the solution for a class of first order p.d.e. by Adomian method ⋮ Determination of eigenmodes in microchip lasers by the Adomian decomposition method ⋮ A new approach to travelling wave solution of a fourth‐order semilinear diffusion equation ⋮ Using the Adomian method for solving a class of boundary differential systems ⋮ Solving a class of linear partial differential equations with Dirichlet‐boundary conditions by the Adomian method ⋮ Application of the Adomian method for solving a class of boundary problems ⋮ The use of Volterra series in the analysis of the nonlinear Schrödinger equation ⋮ Numerical study for soliton solutions of some nonlinear evolution equations ⋮ Restarted Adomian method for system of nonlinear Volterra integral equations ⋮ On new identities for Bell's polynomials ⋮ Decomposition method for solving a nonlinear business cycle model

Cites Work

• Unnamed Item
• On the solution of algebraic equations by the decomposition method
• Convergence of Adomian's method applied to nonlinear equations
• Application of the decomposition method to identify the distributed parameters of an elliptical equation
• New ideas for proving convergence of decomposition methods
• Practical formulae for the calculus of multivariable Adomian polynomials
• Convergence of Adomian's Method

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