LIE, a PC program for Lie analysis of differential equations

Abstract LIE is a self-contained PC program for the Lie analysis of ordinary or partial differential equations, either a single equation or a simultaneous set. It is written in the symbolic mathematics language MUMATH and will run on any PC. It comes as a complete program that incorporates the necessary parts of MUMATH and is ready to run. The previous version was for classical Lie analysis, finding the point symmetries of well-posed differential equations. This is now extended to contact, Lie-Backlun... Title of program: LIE version 4.5 Catalogue Id: ACPB_v2_0 [ADDT] Nature of problem Differential equations are omnipresent in most departments of science. Explicit exact solutions are of great value when they exist and Lie analysis is the only systematic method of finding them. The procedure is well-known [1-5] but involves a large amount of symbolic calculation that is better done by computer. Versions of this program held in the CPC repository in Mendeley Data ACPB_v1_0; LIE version 4.1; 10.1016/0010-4655(93)90007-Y ACPB_v2_0; LIE version 4.5; 10.1016/0010-4655(96)00069-0 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)

搜集汇总

背景与挑战

背景概述

该数据集涉及一个名为'LIE'的PC程序，用于微分方程的Lie分析，支持常微分或偏微分方程（单个或联立方程组），基于MUMATH语言编写，可在任何PC上运行。程序功能包括寻找点对称性、接触对称性等，旨在通过系统方法获得微分方程的精确解，适用于科学计算领域。