|
|
|
|
|
|
 |
 |
|
Solution of ODE System in a Power Series Form
|
|
|
|
|
|
| Organization: | Joint Institute for Nuclear Research |
| Department: | Laboratory of Particle Physics |
|
|
|
|
|
|
0203-713
|
|
|
|
|
|
1992-12-01
|
|
|
|
|
|
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.
|
|
|
|
|
|
|
|
|
|
|
|
Calculus, series expansion, Taylor Series, Ordinary Differential Equation, ODE, , Power Series
|
|
|
 |
|
|
| odetaylo.m (10.2 KB) - Mathematica package | | odetaylo.tst (2.2 KB) - Test suite for odetaylo.m |
|
|
|
|
|
|
|
| | | | | |
|
For the newest resources, visit Wolfram Repositories and Archives »
