On Newton‐Kantorovich Method for Solving the Nonlinear Operator Equation

Hameed Husam Hameed, Z. K. Eshkuvatov, Anvarjon Ahmedov and N. M. A. Nik Long

Abstract and Applied Analysis, 2015, vol. 2015, issue 1

Abstract: We develop the Newton‐Kantorovich method to solve the system of 2 × 2 nonlinear Volterra integral equations where the unknown function is in logarithmic form. A new majorant function is introduced which leads to the increment of the convergence interval. The existence and uniqueness of approximate solution are proved and a numerical example is provided to show the validation of the method.

Date: 2015
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https://doi.org/10.1155/2015/219616

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:219616

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