Open AccessStability Aspects Of Explicit Runge-Kutta Method For Delay Differential Equations
Author(s) -
Fudziah Ismail,
San Lwin Aung,
Mohamed Suleiman
Publication year - 2012
Publication title -
jurnal teknologi/jurnal teknologi
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.191
H-Index - 22
eISSN - 2180-3722
pISSN - 0127-9696
DOI - 10.11113/jt.v44.363
Subject(s) - runge–kutta methods , mathematics , interpolation (computer graphics) , stability (learning theory) , delay differential equation , differential equation , mathematical analysis , computer science , animation , computer graphics (images) , machine learning
Persamaan pembezaan lengah linear (PPL) diselesaikan dengan kaedah Runge–Kutta menggunakan interpolasi yang berbeza bagi penghampiran sebutan lengahnya. Polinomial kestabilannya diterbitkan dan rantau kestabilannya dipersembahkan.Kata kunci: Runge-Kutta, persamaan pembezaan lengah, kestabilan, interpolasi The linear delay differential equations (DDEs) are solved by Runge–Kutta method using different types of interpolation to approximate the delay terms. The stability polynomials are derived and the respective regions of stability are presented. Key words: Runge-Kutta, delay differential equations, stability, interpolation