SOLVING NONLINEAR VOLTERRA INTEGRAL EQUATIONS OF THE FIRST KIND WITH DISCONTINUOUS KERNELS BY USING THE OPERATIONAL MATRIX METHOD
- Авторлар: Amirkhizi S.A.1, Mahmoudi Y.1, Shamloo A.S.2
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Мекемелер:
- Department of Mathematics, Tabriz Branch, Islamic Azad University
- Department of Mathematics, Shabestar Branch, Islamic Azad University
- Шығарылым: Том 63, № 11 (2023)
- Беттер: 1849-1849
- Бөлім: Ordinary differential equations
- URL: https://edgccjournal.org/0044-4669/article/view/664948
- DOI: https://doi.org/10.31857/S0044466923110030
- EDN: https://elibrary.ru/BPEWDO
- ID: 664948
Дәйексөз келтіру
Аннотация
A numerical method to solve the nonlinear Volterra integral equations of the first kind with discontinuous kernels is proposed. Usage of operational matrices for this kind of equation is a cost-efficient scheme. Shifted Legendre polynomials are applied for solving Volterra integral equations with discontinuous kernels by converting the equation to a system of nonlinear algebraic equations. The convergence analysis is given for the approximated solution and numerical examples are demonstrated to denote the precision of the proposed method.
Авторлар туралы
Simin Amirkhizi
Department of Mathematics, Tabriz Branch, Islamic Azad University
Email: stu.aghaei.s@iaut.ac.ir
Iran, Tabriz
Yaghoub Mahmoudi
Department of Mathematics, Tabriz Branch, Islamic Azad University
Email: mahmoudi@iaut.ac.ir
Iran, Tabriz
Ali Shamloo
Department of Mathematics, Shabestar Branch, Islamic Azad University
Хат алмасуға жауапты Автор.
Email: mahmoudi@iaut.ac.ir
Iran, Shabestar
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