Mathematica 9 is now available

Wolfram Library Archive


All Collections Articles Books Conference Proceedings
Courseware Demos MathSource Technical Notes
Title Downloads

Solution of ODE System in a Power Series Form
Author

Alexander L. Urintsev
Organization: Joint Institute for Nuclear Research
Department: Laboratory of Particle Physics
Old MathSource #

0203-713
Revision date

1992-12-01
Description

ODETaylorSeries generates the list

{y1(x0)+y1'(x0)(x-x0)+y1''(x0)(x-x0)^2/2!+ ..., ..., yn(x0)+yn'(x0)(x-x0)+yn''(x0)(x-x0)^2/2!+ ... } containing the power series expansion for solution {y1(x), ..., yn(x)} of initial value problem for the system of ordinary differential equations: y1'(x) = f1(x, y1, ..., yn), y1(x0) = y10, ... yn'(x) = fn(x, y1, ..., yn), yn(x0) = yn0. Note: Pre-release copies of Mathematica Version 2.2 will have problems with this package.
Subject

*Mathematics > Calculus and Analysis > Differential Equations
Keywords

Calculus, series expansion, Taylor Series, Ordinary Differential Equation, ODE, , Power Series
Downloads Download Wolfram CDF Player

Download
odetaylo.m (10.2 KB) - Mathematica package
Download
odetaylo.tst (2.2 KB) - Test suite for odetaylo.m