BELL POLYNOMIAL SOLUTION OF LINEAR FREDHOLM-VOLTERRA INTEGRO DIFFERENTIAL EQUATION SYSTEMS WITH

被引：0

作者：

Yildiz, Gokce ^{[1
]}

Sezer, Mehmet ^{[1
]}

Bicer, Kubra Erdem ^{[1
]}

机构：

[1] Manisa Celal Bayar Univ, Fac Arts & Sci, Dept Math, TR-45000 Manisa, Turkiye

来源：

JOURNAL OF SCIENCE AND ARTS | 2023年 / 04期

关键词：

Bell polynomials and series; collocation points; system of high-order linear hybrid delay Fredholm - Volterra integro-differential equations; residual error estimation; INTEGRODIFFERENTIAL EQUATIONS; COLLOCATION METHOD;

D O I：

10.46939/J.Sci.Arts-23.4-a11

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this study, the Bell collocation method is applied to solve system of high order linear delay Fredholm-Volterra integro differential under initial conditions. The numerical method is substantially dependent on the truncated Bell series, their derivatives, and collocation points. By using this method, solutions of the integral system are obtained from the Bell series. Additionally, the error analysis and residual functions are performed, and some examples are provided to indicate the availability and applicability of the method.

引用

页码：939 / 952

页数：14

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