Comparison of Differential Transformation Method with Adomian Decomposition Method for Functional Differential Equations with Proportional Delays

被引：1

作者：

Rebenda, Josef ^{[1
]}

Smarda, Zdenek ^{[1
]}

机构：

[1] Brno Univ Technol, CEITEC BUT, Brno 61600, Czech Republic

来源：

11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013, PTS 1 AND 2 (ICNAAM 2013) | 2013年 / 1558卷

关键词：

Functional differential and integro-differential equations; Adomian decomposition method; Differential transformation method;

D O I：

10.1063/1.4825722

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we will introduce two methods to obtain the numerical solutions for functional differential equations with proportional delays. The first method is the differential transformation method (DTM) and the second method is Adomian decomposition method (ADM). Moreover, we will make comparison between the solutions obtained by the two methods. Consequently, the results of our system tell us the two methods can be alternative ways for solution of the linear and nonlinear functional differential and integro-differential equations. New formulas for DTM were proven for these types of equations.

引用

页码：1190 / 1193

页数：4

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