Different types of interpolations for solving delay differential equations using explicit Runge-Kutta method / Fudziah Ismail, Aung San Lwin and Mohamed Suleiman

• Main Authors: Ismail, Fudziah, Lwin, Aung San, Suleiman, Mohamed
• Format: Article
• Language: English
• Published: Fakulti Teknologi Maklumat dan Sains Kuantitatif 2005
• Subjects: Differential equations. Runge-Kutta formulas; Difference equations. Functional equations. Delay differential equations. Integral equations
• Online Access: http://ir.uitm.edu.my/id/eprint/11647/1/AJ_FUDZIAH%20ISMAIL%20JTMSK%2005%201.pdf; http://ir.uitm.edu.my/id/eprint/11647/

Delay differential equations (DDEs) with single and multiple delays are solved using embedded explicit Runge-Kutta method. The delay terms are approximated by using divided difference interpolation, Hermite interpolation and continuous extensions formula of the Runge-Kutta method itself. Numerical results based on the different types of interpolation are tabulated and compared.