Citation
Mehrkanoon, S. and Abdul Majid, Zanariah and Suleiman, Mohamed and Othman, Khairil Iskandar and Ibrahim, Zarina Bibi
(2012)
3-Point implicit block multistep method for solution of first order ODEs.
Bulletin of the Malaysian Mathematical Sciences Society, 35 (2A).
pp. 547-555.
ISSN 0126-6705
Abstract
A new 3-point three step method is developed for solving system of first order ordinary differential equations (ODEs). This method at each step approximates the solution at three points simultaneously using variable step size. The method is in a simple form as Adams Moulton method
with the specific aim of gaining efficiency. The Gauss-Seidel style is used for the implementation of the proposed method in PE(CE) mode. The stability regions of the method are discussed. Numerical results show that the proposed method is more efficient than some existent block
method, in terms of accuracy, total number of steps and function calls and execution times.
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