Approximation of solutions of boundary value problems for integro-differential equations of the neutral type using a spline function method
Vol 14 No 2 (2022), Статьи
Vol 14 No 2 (2022)

Approximation of solutions of boundary value problems for integro-differential equations of the neutral type using a spline function method

Статьи
https://doi.org/10.36120/2587-3644.v14i2.7-14
Published September 12, 2023
Ihor Cherevko
Chernivtsi National University, 28 Universytetska St., Chernivtsi, Ukraine
Andrii Dorosh
Chernivtsi National University, 28 Universytetska St., Chernivtsi, Ukraine
Ivan Haiuk
Chernivtsi National University, 28 Universytetska St., Chernivtsi, Ukraine
Andrii Pertsov
Chernivtsi National University, 28 Universytetska St., Chernivtsi, Ukraine

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Keywords

boundary value problem
neutral type
cubic splines

How to Cite

Cherevko, I., Dorosh, A., Haiuk, I., & Pertsov, A. (2023). Approximation of solutions of boundary value problems for integro-differential equations of the neutral type using a spline function method. Acta Et Commentationes Exact and Natural Sciences, 14(2), 7-14. https://doi.org/10.36120/2587-3644.v14i2.7-14
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Abstract

Boundary value problems for nonlinear integro-differential equations of the neutral type are investigated. A scheme for approximating the boundary value problem solution using cubic splines of defect two is proposed and substantiated. A model example illustrating the proposed approximation scheme is considered.

https://doi.org/10.36120/2587-3644.v14i2.7-14
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