Iterative methods to nonlinear equations

DOI10.1016/j.amc.2007.03.068zbMath1193.65064OpenAlexW2081358713MaRDI QIDQ990607

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.2007.03.068

zbMATH Keywords

iterative methodhomotopy perturbation methodnonlinear algebraic equations

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (6)

Mathematical modeling on the effect of equivalence ratio in emission characteristics of compression ignition engine with hydrogen substitution ⋮ Third order derivative free SPH iterative method for solving nonlinear systems ⋮ Modified homotopy perturbation method for solving system of linear Fredholm integral equations ⋮ SOME HIGH ORDER ITERATIVE METHODS FOR NONLINEAR EQUATIONS BASED ON THE MODIFIED HOMOTOPY PERTURBATION METHODS ⋮ A third-order Newton type method for nonlinear equations based on modified homotopy perturbation method ⋮ A review of some recent results for the approximate analytical solutions of nonlinear differential equations

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
• Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method
• Newton-like iteration method for solving algebraic equations
• 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
• 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
• New family of iterative methods for nonlinear 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

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