Analysis of stiff systems via single step method of block pulse functions
- 1 September 1982
- journal article
- research article
- Published by Taylor & Francis in International Journal of Systems Science
- Vol. 13 (9) , 961-968
- https://doi.org/10.1080/00207728208926403
Abstract
The single step method of block pulse functions (b.p.f.) is successfully applied to the analysis of stiff systems. The efficiency of the new method has been demonstrated by considering a few standard examples. The present method is proved to be better than the Runge-Kutta method. It has been found that the new approximate solution becomes extremely close to exact solution when the step length is decreasedKeywords
This publication has 9 references indexed in Scilit:
- System identification via block-pulse functionsInternational Journal of Systems Science, 1981
- Extension of computation beyond the limit of initial normal interval in Walsh series analysis of dynamical systemsIEEE Transactions on Automatic Control, 1980
- A-stable one-step methods with step-size control for stiff systems of ordinary differential equationsJournal of Computational and Applied Mathematics, 1978
- Analysis and synthesis of dynamic systems via block-pulse functionsProceedings of the Institution of Electrical Engineers, 1977
- Comments on "Design of piecewise constant gains for optimal control via Walsh functions"IEEE Transactions on Automatic Control, 1976
- A state-space approach to Walsh series solution of linear systemsInternational Journal of Systems Science, 1975
- System identification via Walsh functionsProceedings of the Institution of Electrical Engineers, 1975
- Stiff Differential SystemsPublished by Springer Nature ,1974
- Solution of differential and integral equations with Walsh functionsIEEE Transactions on Circuit Theory, 1973