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

收藏

页码：1190 / 1193

页数：4

相关论文

共 50 条

[41] Existence and uniqueness of solution for fractional differential equations with integral boundary conditions and the Adomian decomposition method [J].

Wanassi, Om Kalthoum ;

Bourguiba, Rim ;

Torres, Delfim F. M. .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (05) :3582-3595

[42] Solving fuzzy system of Volterra integro-differential equations by using Adomian decomposition method [J].

Younis, Mahasin Thabet ;

Al-Hayani, Waleed .

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, 15 (01) :290-313

[43] Adomian decomposition method for solving BVPs for fourth-order integro-differential equations [J].

Hashim, Ishak .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 193 (02) :658-664

[44] A note on the use of Adomian decomposition method for high-order and system of nonlinear differential equations [J].

Hosseini, M. M. ;

Jafari, M. .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (05) :1952-1957

[45] Modified homotopy perturbation method for nonlinear equations and comparison with Adomian decomposition method [J].

Abbasbandy, S .

APPLIED MATHEMATICS AND COMPUTATION, 2006, 172 (01) :431-438

[46] An approximation to the solution of hyperbolic equations by Adomian decomposition method and comparison with characteristics method [J].

Biazar, J ;

Ebrahimi, H .

APPLIED MATHEMATICS AND COMPUTATION, 2005, 163 (02) :633-638

[47] Adomian decomposition and homotopy perturbation method for the solution of time fractional partial integro-differential equations [J].

Panda, A. ;

Santra, S. ;

Mohapatra, J. .

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 68 (03) :2065-2082

[48] Adomian decomposition and homotopy perturbation method for the solution of time fractional partial integro-differential equations [J].

A. Panda ;

S. Santra ;

J. Mohapatra .

Journal of Applied Mathematics and Computing, 2022, 68 :2065-2082

[49] Solving delay differential systems with history functions by the Adomian decomposition method [J].

Blanco-Cocom, Luis ;

Estrella, Angel G. ;

Avila-Vales, Eric .

APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (10) :5994-6011

[50] ON A NEW DIFFERENTIAL TRANSFORMATION METHOD FOR SOLVING NONLINEAR DIFFERENTIAL EQUATIONS [J].

Ebaid, Abdelhalim .

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2013, 6 (04)

← 1 2 3 4 5 →