Numerical study for periodical delay differential equations using Runge–Kutta with trigonometric interpolation

Author:

Senu NorazakORCID,Ahmad Nur Amirah,Othman Mohamed,Ibrahim Zarina Bibi

Funder

Universiti Putra Malaysia

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference26 articles.

1. Ababneh O, Ahmad R, Ismail E (2009) Design of new diagonally implicit Runge–Kutta methods for stiff problems. Appl Math Sci 3:2241–2253

2. Ahmad NA, Senu N, Ismail F (2016) Phase-fitted and amplification-fitted diagonally implicit Runge–Kutta method for the numerical solution of periodic problems. Asian J Math Comput Res 12:252–264

3. Ahmad NA, Senu N, Ibrahim ZB, Othman M (2019a) Trigonometrically-fitted diagonally implicit two derivative Runge–Kutta method for the numerical solution of periodical IVPs. ASM Sci J 12:50–59

4. Ahmad NA, Senu N, Ibrahim ZB, Othman M (2019b) Diagonally implicit two derivative Runge–Kutta methods for solving first order initial value problems. J Abstr Comput Math 1:18–36

5. Baker CT, Paul CA (1994) Computing stability regions-Runge–Kutta methods for delay differential equations. IMA J Numer Anal 14:347–362

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