New methods for applying the Adomian method to partial differential equations with boundary conditions

DOI10.1108/03684920510605740zbMath1117.65356OpenAlexW2093053824MaRDI QIDQ5695198

K. Abbaoui, Titem Benneouala, Yves Cherruault

Publication date: 11 October 2005

Published in: Kybernetes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/03684920510605740

zbMATH Keywords

comparison of methodsnumerical examplesnonlinear partial differential equationsAdomian decomposition methodChebyshev pseudospectral method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (3)

An approximate solution to an initial boundary value problem: Rakib–Sivashinsky equation ⋮ An approximate solution to an initial boundary value problem to the one-dimensional Kuramoto-Sivashinsky equation ⋮ On the approximate solution to an initial boundary valued problem for the Cahn-Hilliard equation

Cites Work

• Decomposition methods: A new proof of convergence
• Convergence of Adomian's method applied to differential equations
• Chebyshev pseudospectral method and waveform relaxation for differential and differential-functional parabolic equations
• Convergence of Adomian's Method
• Analytical solution of nonlinear partial differential equations of physics

This page was built for publication: New methods for applying the Adomian method to partial differential equations with boundary conditions