Implementation of the Prelle-Singer Method for 1ODEs
数值分析
2025-10-20 v1 数值分析
数学物理
math.MP
摘要
A set of MapleV R5 software routines for solving first order ordinary differential equations (1ODEs) is presented. The package implements the Prelle-Singer Method in its original form plus its extension to include elementary functions (ELFs) on the integrating factor . The package also presents a theoretical extension to deal with all 1ODEs presenting liouvillian solutions (LIS).
引用
@article{arxiv.math/0008110,
title = {Implementation of the Prelle-Singer Method for 1ODEs},
author = {L. G. S. Duarte and S. E. S. Duarte and L. A. C. P. da Mota and J. E. F. Skea},
journal= {arXiv preprint arXiv:math/0008110},
year = {2025}
}
备注
19 pages (no figures), latex