A METHOD BASED ON GENETIC PROGRAMMING TO FIND SYMBOLIC SOLUTIONS OF DIFFERENTIAL EQUATIONS

被引：0

作者：

Botero, Angelica Maria Ramirez ^{[1
]}

Vargas, Julio Hernando ^{[2
]}

Minoli, Cesar Augusto Acosta ^{[1
]}

机构：

[1] Univ Quindio, Grp GEDES, Armenia, Colombia

[2] Univ Tecnol Pereira, Pereira, Colombia

来源：

REVISTA DE INVESTIGACIONES-UNIVERSIDAD DEL QUINDIO | 2014年 / 26卷 / 02期

关键词：

Genetic programming; symbolic regression; numerical methods; differential equations;

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：

In this study, a method based on Genetic Programming (GP) to solve differential equations was carried out. We first described the fundamentals of the GP method from its conceptual insights until its implementation in Python. Then we used the method to solve three problems in ODEs to illustrate some advantages and disadvantages from a computational and a mathematical point of view. The problems solved included an initial value problem, a non-linear boundary value problem and a numerically unstable problem. Results show some advantages concerning the use of the method for non-linear and ill-conditioned problems and allow us to propose several questions for future research.

引用

页码：65 / 75

页数：11

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