Adomian's decomposition method and homotopy perturbation method in solving nonlinear equations

DOI10.1016/j.cam.2008.09.007zbMath1165.65345OpenAlexW2079425938MaRDI QIDQ1019782

Jian-Lin Li

Publication date: 28 May 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2008.09.007

zbMATH Keywords

Adomian's decomposition methodnonlinear equationshomotopy perturbation method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (11)

A novel cubically convergent iterative method for computing complex roots of nonlinear equations ⋮ The \((G'/G)\)-expansion method for abundant traveling wave solutions of Caudrey-Dodd-Gibbon equation ⋮ Eventual periodicity of forced oscillations of the Korteweg-de Vries type equation ⋮ Application of Adomian‐type method to solve rectangular laminated thick plates in bending ⋮ An improved spectral homotopy analysis method for MHD flow in a semi-porous channel ⋮ Solving a system of integral equations by an analytic method ⋮ A decomposition method for nonlinear bending of anisotropic thin plates ⋮ Prandtl's boundary layer equation for two-dimensional flow: exact solutions via the simplest equation method ⋮ Approximate explicit analytical expressions of friction factor for flow of Bingham fluids in smooth pipes using Adomian decomposition method ⋮ Adomian decomposition method applied to anisotropic thick plates in bending ⋮ A recursive methodology for the solution of semi-analytical rectangular anisotropic thin plates in linear bending

Cites Work

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• Homotopy perturbation method for solving boundary value problems
• Homotopy perturbation technique
• Numerical solutions of the integral equations: homotopy perturbation method and Adomian's decomposition method
• Comparison between the homotopy analysis method and homotopy perturbation method
• Convergence of Adomian's Method
• Perturbation methods and non-linear hyperbolic waves

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