Application of differential transform method on nonlinear integro-differential equations with proportional delay

被引：19

作者：

Abazari, Reza ^{[1
]}

Kilicman, Adem ^{[2
,3
]}

机构：

[1] Islamic Azad Univ, Young Researchers Club, Ardabil Branch, Ardebil, Iran

[2] Univ Putra Malaysia, Dept Math, Upm Serdang 43400, Selangor Darul, Malaysia

[3] Univ Putra Malaysia, Inst Math Res, Upm Serdang 43400, Selangor Darul, Malaysia

来源：

NEURAL COMPUTING & APPLICATIONS | 2014年 / 24卷 / 02期

关键词：

Integro-differential equation; Proportional delay; Differential transform method; Closed-form solution; INTEGRAL-EQUATIONS; SPECTRAL METHODS; PANTOGRAPH-TYPE;

D O I：

10.1007/s00521-012-1235-4

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this work, we applied the differential transform method, by presenting and proving some theorems, to solve the nonlinear integro-differential equation with proportional delays. This technique provides a sequence of functions which converges to the exact solution of the problem. In order to show the power and the robustness of the method and to illustrate the pertinent features of related theorems, some examples are presented.

引用

页码：391 / 397

页数：7

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