MORGAN-VOYCE MATRIX METHOD FOR GENERALIZED FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA-TYPE

被引：0

作者：

Ozel, Mustafa ^{[1
]}

Kurkcu, Omur Kivanc ^{[2
]}

Sezer, Mehmet ^{[3
]}

机构：

[1] Dokuz Eylul Univ, Dept Geophys Engn, TR-35370 Izmir, Turkey

[2] Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey

[3] Manisa Celal Bayar Univ, Dept Math, TR-45140 Manisa, Turkey

来源：

JOURNAL OF SCIENCE AND ARTS | 2019年 / 02期

关键词：

Morgan-Voyce polynomials; Integro-differential equation; Matrix method; Collocation points; Error Analysis; DIFFERENTIAL-DIFFERENCE EQUATIONS; COLLOCATION METHOD; NUMERICAL-SOLUTION;

D O I：

暂无

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：

This study deals with the generalized linear Volterra-type functional integro-differential equations with mixed delays. A combination between matrix-collocation method and Morgan-Voyce polynomials is developed to solve these type equations. In addition, an error analysis technique is given to improve the obtained solutions. Numerical examples are performed to confirm the efficiency and validity of the method. The comparisons are made in tables and figures. The discussions show that the method is fast and precise.

引用

页码：295 / 310

页数：16

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