Some multi-step iterative methods for solving nonlinear equations

DOI10.1016/j.camwa.2009.07.031zbMath1189.65094OpenAlexW2048125276MaRDI QIDQ979876

Arif Rafiq, Muhammad Rafiullah

Publication date: 28 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.07.031

zbMATH Keywords

convergence analysisapplicationsnonlinear equationsmulti-step iterative methodshomotopy perturbation method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (8)

Implicit-explicit multistep methods for general two-dimensional nonlinear Schrödinger equations ⋮ Unnamed Item ⋮ The multi-step homotopy analysis method for solving the Jaulent-Miodek equations ⋮ New technique for the approximation of the zeros of nonlinear scientific models ⋮ New family of iterative methods for solving nonlinear models ⋮ The multi-step homotopy analysis method for modified epidemiological model for computer viruses ⋮ The multi-step homotopy analysis method for solving fractional-order model for HIV infection of CD4+T cells ⋮ Some New Iterative Techniques for the Problems Involving Nonlinear Equations

Cites Work

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• Homotopy perturbation technique
• Limit cycle and bifurcation of nonlinear problems
• Application of homotopy perturbation method to nonlinear wave equations
• A new iterative method to compute nonlinear equations
• A variant of Newton's method with accelerated third-order convergence

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