Annotation

This software emulates solving differential equations using the differential transformation method (DTM), a modern semi-analytical numerical technique which uses Taylor series for the solution of differential equations in the form of polynomials yet does not require symbolic computation of the necessary derivatives of data functions. The method avoids the need of linearization of perturbations, large computational work as well as round-off errors. It may be applied on various types of differential (and integro-differential) equations with as well as without delay. The software uses a selection of basic as well as special recently proved transformation formulas and has been built in a way that makes implementing new formulas an easy task.

Technical Info

The software will launch in a separate window. Java (free) must be installed on a client computer. Using Java version 7 is recommended. Set security level to Medium or add server http://matika.umat.feec.vutbr.cz/ to your Exception list. When launching the software the browser might display a security warning and ask whether to block a potentially dangerous content. Click No (i.e. don't block).

When closing the software we recommend to close the browser tab that opened it. When closing the application itself (not the browser tab), the browser might attempt to recover the tab which might result in the browser crash. You can prevent this by disabling the automatic crash recovery feature of your browser.

Licence Agreement

You may use the software for research and scientific activities free of charge. In all other cases contact RNDr. M. Novák, Ph.D., Vysoké učení technické v Brně, UMAT FEKT, Technická 8, 616 00 Brno, email: novakm@feec.vutbr.cz, phone: 541143135.

Authors and Acknowledgement

M. Novák, Š. Křehlík, supported by FEKT-S-14-2200 "Representations of solution of dynamical systems; numerical algorithms of solution (Reprezentace řešení dynamických systémů, numerické algoritmy řešení)"