Two-Point Boundary Value Problem for Volterra–Fredholm Integro-Differential Equations and Its Numerical Analysis
Assanova A.T. Bakirova E.A. Kadirbayeva Z.M.
March 2023Pleiades Publishing
Lobachevskii Journal of Mathematics
2023#44Issue 31100 - 1110 pp.
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.
algorithm , numerical solution , parameter , two-point boundary value problem , Volterra–Fredholm integro-differential equations
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Institute of Mathematics and Mathematical Modeling, Department of Differential Equations, Almaty, 050010/A26G7T4, Kazakhstan
Kazakh National Women’s Teacher Training University, Almaty, 050026/A05M0T6, Kazakhstan
International Information Technology University, Department of Mathematical and Computer Modeling, Almaty, 050040/A15M0F0, Kazakhstan
Institute of Mathematics and Mathematical Modeling
Kazakh National Women’s Teacher Training University
International Information Technology University
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