Solving Fredholm integro-differential equations involving integral condition: A new numerical method-Reference-Cited by-同舟云学术

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

Published:2024-04-01 Issue:2 Volume:74 Page:403-416
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Kadirbayeva Zhazira¹²,Bakirova Elmira¹³,Tleulessova Agila⁴

Affiliation:

1. Department of Differential equations Institute of Mathematics and Mathematical Modeling Almaty Kazakhstan

2. Department of Mathematical and Computer Modeling International Information Technology University Almaty Kazakhstan

3. Department of Mathematics Kazakh National Women’s Teacher Training University Almaty Kazakhstan

4. Department of fundamental mathematics L. N. Gumilyov Eurasian National University Astana Kazakhstan

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/ms-2024-0031/pdf

Reference40 articles.

1. Aida-zade, K. R.—Abdullayev, V. M.: To the solution of integro-differential equations with nonlocal conditions, Turkish J. Math. 46(1) (2022), 177–188.

2. Akyuz-Dascioglu, A.—Sezer, M.: Chebyshev polynomial solutions of systems of higher-order linear Fredholm–Volterra integro-differential equations, J. Franklin Inst. 342(6) (2005), 688–701.

3. Ali, N.—Zaman, G.—Hyo Jung, I.: Stability analysis of delay integro-differential equations of HIV-1 infection mode, Georgian Math. J. 27(3) (2018), 1–10.

4. Amirali, I.—Durmaz, M. E.—Acar, H.—Amiraliyev, G. M.: First-order numerical method for the singularly perturbed nonlinear Fredholm integro-differential equation with integral boundary condition, J. Phys. Conf. Ser. 2514(1) (2023), Art. ID 012003.

5. Andrade, B.—Viana, A.: Integrodifferential equations with applications to a plate equation with memory, Math. Nachr. 289(17–18) (2016), 2159–2172.