Approximation of the solution for a class of first order p.d.e. by Adomian method

DOI10.1108/03684920210422647zbMath1015.65054OpenAlexW2011367555MaRDI QIDQ4781504

Salim Khelifa, Yves Cherruault

Publication date: 13 November 2002

Published in: Kybernetes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/03684920210422647

zbMATH Keywords

Adomian decomposition method\(\alpha\)-dense curves

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (4)

Numerical solution of a biological population model using He's variational iteration method ⋮ An application of the modified decomposition method for the solution of the coupled Klein-Gordon-Schrödinger equation ⋮ The numerical solution of the second Painlevé equation ⋮ Application of the Adomian decomposition method for the Fokker-Planck equation

Cites Work

• On the solution of algebraic equations by the decomposition method
• Convergence of Adomian's method applied to differential equations
• Global optimization in biology and medicine
• Characterization and generation of \(\alpha\)-dense curves
• Functional equations generating space-densifying curves
• 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
• Generation of α‐dense curves in a cube of IRⁿ
• New results for the Adomian method

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