An extension of the decomposition method for solving nonlinear equations and its convergence

DOI10.1016/j.camwa.2007.04.029zbMath1142.65046OpenAlexW1975567676MaRDI QIDQ2426897

Chuangyin Dang, Yong-chang Jiao, Yoshitsugu Yamamoto

Publication date: 14 May 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.04.029

zbMATH Keywords

convergencenumerical resultsHilbert spaceAdomian's decomposition methodnonlinear operator equationMathematicageneralized decomposition method

Mathematics Subject Classification ID

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

Related Items (4)

Recent development of Adomian decomposition method for ordinary and partial differential equations ⋮ A decomposition method for solving quaternion differential equations ⋮ Approximate analytic solutions for a two-dimensional mathematicalmodel of a packed-bed electrode using the Adomian decomposition method ⋮ A nonlinear option pricing model through the Adomian decomposition method

Uses Software

• Mathematica

Cites Work

• Algebraic equations with exponential terms
• Solving frontier problems of physics: the decomposition method
• Solution of physical problems by decomposition
• Convergence of Adomian's method applied to differential equations
• An algorithm for solving bond pricing problem.
• Solving the problem of biological species living together by Adomian decomposition method
• On the order of convergence of Adomian method.
• Exact solutions for variable coefficients fourth-order parabolic partial differential equations in higher-dimensional spaces
• Convergence of Adomian's Method
• A review of the decomposition method and some recent results for nonlinear equations

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