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


Kadirbayeva Z. Bakirova E. Tleulessova A.
1 April 2024Walter de Gruyter GmbH

Mathematica Slovaca
2024#74Issue 2403 - 416 pp.

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.

algorithm , Fredholm integro-differential equation , integral condition , numerical solution , parametrization method

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Department of Differential Equations, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Department of Mathematical and Computer Modeling, International Information Technology University, Almaty, Kazakhstan
Department of Mathematics, Kazakh National Womens Teacher Training University, Almaty, Kazakhstan
Department of Fundamental Mathematics, L. N. Gumilyov Eurasian National University, Astana, Kazakhstan

Department of Differential Equations
Department of Mathematical and Computer Modeling
Department of Mathematics
Department of Fundamental Mathematics

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