A Runge-Kutta Method with Lower Function Evaluations for Solving Hybrid Fuzzy Differential Equations

被引：0

作者：

Ahmadian, Ali ^{[1
]}

Suleiman, Mohamed ^{[1
]}

Ismail, Fudziah ^{[1
]}

Salahshour, Soheil ^{[2
]}

Ghaemi, Ferial ^{[3
]}

机构：

[1] Univ Putra Malaysia, Inst Math Res, Serdang 43400, Selangor, Malaysia

[2] Islamic Azad Univ, Mobarakeh Branch, Dept Math, Mobarakeh, Iran

[3] Univ Putra Malaysia, Inst Adv Technol, Serdang 43400, Malaysia

来源：

INTELLIGENT INFORMATION AND DATABASE SYSTEMS (ACIIDS 2013), PT I, | 2013年 / 7802卷

关键词：

Fuzzy ordinary differential equation; Hybrid system; Bede's Characterization Theorem; High order Runge-Kutta method; Seikkala derivative; NUMERICAL-SOLUTION; SYSTEMS;

D O I：

暂无

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 paper, we apply a Runge-Kutta method for solving first order fuzzy differential equations using lower number of function evaluations in comparison with classical Runge-Kutta method. It is assumed that the user will evaluate both f and f' readily instead of the evaluations of f only when solving hybrid fuzzy differential equation which enhance the order of accuracy of the solutions. Numerical example is provided which compares the new results with previous findings.

引用

页码：265 / 274

页数：10

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