A new fifth order implicit block method for solving first order stiff ordinary differential equations

• Main Authors: Musa, Hamisu, Suleiman, Mohamed, Ismail, Fudziah, Senu, Norazak, Abdul Majid, Zanariah, Ibrahim, Zarina Bibi
• Format: Article
• Language: English
• Published: Institute for Mathematical Research, Universiti Putra Malaysia 2014
• Online Access: http://psasir.upm.edu.my/id/eprint/39052/1/39052.pdf; http://psasir.upm.edu.my/id/eprint/39052/; http://einspem.upm.edu.my/journal/fullpaper/vol8soct/5.%20hamisu%20musa.pdf

A new implicit block backward differentiation formula that computes 3–points simultaneously is derived. The method is of order 5 and solves system of stiff ordinary differential equations (ODEs). The stability analysis indicates that the method is A–stable. Numerical results show that the method ou...