Malaysian Journal of Mathematical Sciences, October 2014, Vol. 8(S)
Special Issue: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013)
A New Fifth Order Implicit Block Method for Solving First Order Stiff Ordinary Differential Equations
Hamisu Musa, Mohamed Suleiman, Fudziah Ismail, Norazak Senu, Zanariah Abdul Majid and Zarina Bibi Ibrahim
Corresponding Email: [email protected]
Received date: -
Accepted date: -
Abstract:
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 outperformed some existing block and non-block methods for solving stiff ODEs.
Keywords: A-Stability, implicit block method, order of a block method, stiff, ordinary differential equations
