Approximate solution of the system of nonlinear integral equation by Newton-Kantorovich method

DOI10.1016/j.amc.2010.09.068zbMath1220.65185OpenAlexW2041766470WikidataQ59349621 ScholiaQ59349621MaRDI QIDQ618052

O. Shafiq, Zainidin K. Eshkuvatov, Nik Mohd Asri Nik Long, Anvarjon Akhmedov

Publication date: 14 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.09.068

zbMATH Keywords

convergencenumerical examplessuccessive approximationsNewton-Kantorovich methodsystem of nonlinear Volterra integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Systems of nonlinear integral equations (45G15) Volterra integral equations (45D05)

Related Items (4)

A finite point algorithm for soil water-salt movement equation ⋮ Effective approximation method for solving linear Fredholm-Volterra integral equations ⋮ On Newton-Kantorovich method for solving the nonlinear operator equation ⋮ General 2 \({\times}\) 2 system of nonlinear integral equations and its approximate solution

Cites Work

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• Implicitly linear collocation methods for nonlinear Volterra equations
• Approximate solution of nonlinear integral equations of the theory of developing systems
• On the approximation of some nonlinear equations
• A perspective on the numerical treatment of Volterra equations
• Accuracy-optimal approximate methods for solving Volterra integral equations
• Local convergence of inexact Newton-like iterative methods and applications

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