New iterative schemes for nonlinear equations

DOI10.1016/j.amc.2006.09.028zbMath1116.65056OpenAlexW2027683752MaRDI QIDQ883899

Muhammad Aslam Noor

Publication date: 12 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.09.028

zbMATH Keywords

convergencedecomposition methodnumerical examplesNewton methoditerative schemesthree-step methods

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (13)

Iterative methods with fourth-order convergence for nonlinear equations ⋮ A splitting method to solve a single nonlinear equation with derivative-free iterative schemes ⋮ Some new iterative methods for nonlinear equations ⋮ Solving multispecies Lotka-Volterra equations by the Daftardar-Gejji and Jafari method ⋮ Solving fractional-order logistic equation using a new iterative method ⋮ New iterative technique for solving a system of nonlinear equations ⋮ Efficient method for solving a system of nonlinear equations ⋮ New iterative methods for nonlinear equations ⋮ Unnamed Item ⋮ Homotopy perturbation method for a type of nonlinear coupled equations with parameters derivative ⋮ The construction of rational iterative methods for solving nonlinear equations ⋮ Convergence of the new iterative method ⋮ Iterative methods for simultaneous computing arbitrary number of multiple zeros of nonlinear equations

Cites Work

• Iterative methods improving Newton's method by the decomposition method
• Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
• Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method
• On Newton-type methods with cubic convergence
• A new iteration method for solving algebraic equations
• A note on the new iteration method for solving algebraic equations
• Unnamed Item

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