Two-Point Boundary Value Problem for Volterra–Fredholm Integro-Differential Equations and Its Numerical Analysis

A. T. Assanova, E. А. Bakirova, Zh. М. Каdirbayeva

2023

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DOI 10.1134/s1995080223030058
Data confidence 70 medium
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Abstract

Abstract A two-point boundary value problem for Volterra–Fredholm integro-differential equations is considered. To solve this problem, Dzhumabaev parametrization method is used. Conditions for the existence and uniqueness of two-point boundary value problem for Volterra–Fredholm integro-differential equations are established. An algorithm for finding solution of this problem is proposed. Then, numerical approach for analysis of two-point boundary value problem for Volterra–Fredholm integro-differential equations is offered. Results are illustrated by numerical example.