CMMSE: Numerical Method for Solving Problem for Delay Integro‐Differential Equation

ABSTRACT The object of interests of this paper is the two‐point linear boundary value problem for a delay Fredholm integro–differential equation. To solve this problem numerically, a Dzhumabaev parameterization method is presented, which is based on the dividing the given interval into subintervals and introducing additional parameters, which enables to transform the given problem into a respective system of algebraic equations. Numerical illustrations confirm our theoretical analysis.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2025-12-23
DOI
https://doi.org/10.1002/mma.70443
Primary Topic
Numerical methods for differential equations
Type
article
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article

CMMSE: Numerical Method for Solving Problem for Delay Integro‐Differential Equation

E. А. Bakirova
Mathematical Methods in the Applied Sciences
Numerical methods for differential equations
article

CMMSE: Numerical Method for Solving Problem for Delay Integro‐Differential Equation

E. А. Bakirova
article en

Abstract

ABSTRACT The object of interests of this paper is the two‐point linear boundary value problem for a delay Fredholm integro–differential equation. To solve this problem numerically, a Dzhumabaev parameterization method is presented, which is based on the dividing the given interval into subintervals and introducing additional parameters, which enables to transform the given problem into a respective system of algebraic equations. Numerical illustrations confirm our theoretical analysis.

Mathematical Methods in the Applied Sciences
Abai Kazakh National Pedagogical University (KZ), Institute of Mathematics and Mathematical Modeling (KZ)
Openalex Percentile: Top 27%
Numerical methods for differential equations
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