A third-order Newton type method for nonlinear equations based on modified homotopy perturbation method

DOI10.1016/j.amc.2007.02.079zbMath1193.65058OpenAlexW2083711441MaRDI QIDQ990419

Ahmad Golbabai, Mohammad Javidi

Publication date: 1 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.02.079

zbMATH Keywords

iterative methodsnonlinear algebraic equationsmodified homotopy perturbation method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items

Unnamed Item ⋮ A new accurate and efficient iterative numerical method for solving the scalar and vector nonlinear equations: approach based on geometric considerations ⋮ Fractional variational homotopy perturbation iteration method and its application to a fractional diffusion equation ⋮ Numerical algorithms for finding zeros of nonlinear equations and their dynamical aspects ⋮ Fourth-order and fifth-order iterative methods for nonlinear algebraic equations ⋮ Modified homotopy perturbation method for solving system of linear Fredholm integral equations ⋮ Two-phase-SQP method with higher-order convergence property ⋮ Some multi-step iterative methods for solving nonlinear equations ⋮ SOME HIGH ORDER ITERATIVE METHODS FOR NONLINEAR EQUATIONS BASED ON THE MODIFIED HOMOTOPY PERTURBATION METHODS ⋮ On systems of nonlinear equations: some modified iteration formulas by the homotopy perturbation method with accelerated fourth- and fifth-order convergence ⋮ Unnamed Item ⋮ Cubic convergence of parameter-controlled Newton-secant method for multiple zeros

Cites Work

• Iterative methods improving Newton's method by the decomposition method
• Modified iterative methods with cubic convergence for solving nonlinear equations
• Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder
• Iterative methods to nonlinear equations
• Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method
• Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method
• The homotopy perturbation method for nonlinear oscillators with discontinuities.
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Application of He's homotopy perturbation method to Volterra's integro-differential equation
• Solution of nonlinear equations by modified Adomian decomposition method
• A new iteration method for solving algebraic equations
• Asymptotology by homotopy perturbation method
• Homotopy perturbation method for solving boundary value problems
• Homotopy perturbation technique
• Revised Adomian decomposition method for solving a system of nonlinear equations
• Iterated He's homotopy perturbation method for quadratic Riccati differential equation
• A numerical solution for solving system of Fredholm integral equations by using homotopy perturbation method
• A new family of iterative methods for solving system of nonlinear algebraic equations
• Limit cycle and bifurcation of nonlinear problems
• Application of homotopy perturbation method to nonlinear wave equations
• A new iterative method to compute nonlinear equations