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Article · Mathematica Slovaca · April 1, 2024

Solving Fredholm integro-differential equations involving integral condition: A new numerical method

Zh. М. Каdirbayeva, E. А. Bakirova, Agila B. Tleulessova

Abstract

Abstract In this work we investigate a nonlocal problem for the Fredholm integro-differential equation involving integral condition. The main tool used in our considerations is Dzhumabaev parametrization method. We make use of the numerical implementation of the Dzhumabaev parametrization method to obtain the desired result, which is well-supported with numerical examples.

Differential Equations and Boundary ProblemsNumerical Solvers for Ordinary Differential EquationsNonlinear Differential Equations AnalysisFredholm integro-differential equationsintegral conditionsnonlocal boundary value problems

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