# Systems of Ordinary Differential Equations 08

Systems of Ordinary Differential Equations uses long Taylor series to solve systems of ordinary differential equations.

Systems of Ordinary Differential Equations uses long Taylor series to solve systems of ordinary differential equations.

SODE.icn is an Icon (or probably Unicon Program) to generate either an Icon (or Unicon) or Maple program to solve a single (or a system of) ordinary differential equation(s).

A long Taylor series method, pioneered by Prof. Y.F. Chang, who taught at the University of Nebraska in the late 1970's when I was a graduate student there, is used.

The number of Taylor series terms can be specified in the problem file, though it is usually 30. The terms are used to calculate the values of the dependant variables, and also the radius of convergence and order of any singularities.

These affect the size of the next increment, but it is hoped that a way to control the error more precisely can be found. In release 20, MAX_TERMS is setable in the problem files. Mostly for STIFF equations.

· A staticd is no longer returned due to a unicon bug.

· readme.txt was updated.

SODE.icn is an Icon (or probably Unicon Program) to generate either an Icon (or Unicon) or Maple program to solve a single (or a system of) ordinary differential equation(s).

A long Taylor series method, pioneered by Prof. Y.F. Chang, who taught at the University of Nebraska in the late 1970's when I was a graduate student there, is used.

The number of Taylor series terms can be specified in the problem file, though it is usually 30. The terms are used to calculate the values of the dependant variables, and also the radius of convergence and order of any singularities.

These affect the size of the next increment, but it is hoped that a way to control the error more precisely can be found. In release 20, MAX_TERMS is setable in the problem files. Mostly for STIFF equations.

**What's New**in This Release:· A staticd is no longer returned due to a unicon bug.

· readme.txt was updated.

- last updated on:
- March 28th, 2007, 18:35 GMT
- price:
- FREE!
- homepage:
- sode.sourceforge.net
- license type:
- GPL (GNU General Public License)
- developed by:
**Dennis Darland**- category:
- ROOT \ Science and Engineering \ Mathematics

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