Regular order reductions of ordinary and delay-differential equations

Published: 01-01-1999| Version 1 | DOI: 10.17632/v9dr6d3bf9.1
J.M. Aguirregabiria,
Ll. Bel,
A. Hernández,
M. Rivas


Abstract We present a C program to compute by successive approximations the regular order reduction of a large class of ordinary differential equations, which includes evolution equations in electrodynamics and gravitation. The code may also find the regular order reduction of delay-differential equations. Title of program: ODEred Catalogue Id: ADJT_v1_0 Nature of problem In different physical problems, including electrodynamics and theories of gravitation, there appear singular differential equations whose order decreases when a physical parameter takes a particular but very important value. Typically most solutions of these equations are unphysical. The regular order reduction is an equation of lower order which contains precisely the physical solutions, which are those regular in that parmeter. The program computes the solution of the regular order reduction f ... Versions of this program held in the CPC repository in Mendeley Data ADJT_v1_0; ODEred; 10.1016/S0010-4655(98)00159-3 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)