Khairil Iskandar Othman and Zarina Bibi Ibrahim and Mohamed Suleiman
Parallel Block Backward Differentiation Formulas for Solving Ordinary Differential Equations
257 - 259
2008
2
4
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/7693
https://publications.waset.org/vol/16
World Academy of Science, Engineering and Technology
A parallel block method based on Backward
Differentiation Formulas (BDF) is developed for the parallel solution
of stiff Ordinary Differential Equations (ODEs). Most common
methods for solving stiff systems of ODEs are based on implicit
formulae and solved using Newton iteration which requires repeated
solution of systems of linear equations with coefficient matrix, I
hβJ . Here, J is the Jacobian matrix of the problem. In this paper,
the matrix operations is paralleled in order to reduce the cost of the
iterations. Numerical results are given to compare the speedup and
efficiency of parallel algorithm and that of sequential algorithm.
Open Science Index 16, 2008