RbfDeSolver: A Software Tool to Approximate Differential Equations Using Radial Basis Functions

Axioms

Evangelos Karvounis¹  Alexandros Tzallas¹  Ioannis G. Tsoulos¹ 

[1] Department of Informatics and Telecommunications, University of Ioannina, 47150 Ioannina, Greece;

关键词: differential equations;    neural networks;    genetic algorithms;   

DOI  :  10.3390/axioms11060294

来源: DOAJ

【 摘 要 】

A new method for solving differential equations is presented in this work. The solution of the differential equations is done by adapting an artificial neural network, RBF, to the function under study. The adaptation of the parameters of the network is done with a hybrid genetic algorithm. In addition, this text presents in detail the software developed for the above method in ANSI C++. The user can code the underlying differential equation either in C++ or in Fortran format. The method was applied to a wide range of test functions of different types and the results are presented and analyzed in detail.

【 授权许可】

Unknown