Some iterative methods for solving nonlinear equations using homotopy perturbation method

DOI10.1080/00207160801969513zbMath1182.65079OpenAlexW2001992206MaRDI QIDQ5852129

Muhammad Aslam Noor

Publication date: 26 January 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160801969513

zbMATH Keywords

convergencenumerical examplesiterative methodhomotopy perturbation methodtwo-step Newton method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

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Cites Work

• Unnamed Item
• Unnamed Item
• Iterative methods improving Newton's method by the decomposition method
• Three-step iterative methods for nonlinear equations
• Some iterative schemes for nonlinear equations
• Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method
• A new iteration method for solving algebraic equations
• Predictor-corrector Halley method for nonlinear equations
• Newton-homotopy analysis method for nonlinear equations
• New family of iterative methods for nonlinear equations
• Modified Householder iterative method for nonlinear equations
• An improvement to Ostrowski root-finding method
• A note on the new iteration method for solving algebraic equations

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