Modified homotopy perturbation technique for the approximate solution of nonlinear equations

DOI10.1155/2014/787591zbMath1301.65035OpenAlexW2045524360WikidataQ59036549 ScholiaQ59036549MaRDI QIDQ463260

Farooq Ahmed Shah

Publication date: 16 October 2014

Published in: Chinese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/787591

zbMATH Keywords

numerical examplesiterative methodnonlinear equationshomotopy perturbation method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (1)

Constructing frozen Jacobian iterative methods for solving systems of nonlinear equations, associated with ODEs and PDEs using the homotopy method

Cites Work

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• Iterative methods improving Newton's method by the decomposition method
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• Variational iteration method -- some recent results and new interpretations
• Variational iteration technique for solving nonlinear equations
• Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method
• A variant of Cauchy's method with accelerated fifth-order convergence.
• Homotopy perturbation technique
• Newton-homotopy analysis method for nonlinear equations
• A method for obtaining iterative formulas of order three

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