TY - JFULL
AU - Khairil Iskandar Othman and Zarina Bibi Ibrahim and Mohamed Suleiman
PY - 2008/5/
TI - Parallel Block Backward Differentiation Formulas for Solving Ordinary Differential Equations
T2 - International Journal of Mathematical and Computational Sciences
SP - 256
EP - 259
VL - 2
SN - 1307-6892
UR - https://publications.waset.org/pdf/7693
PU - World Academy of Science, Engineering and Technology
NX - Open Science Index 16, 2008
N2 - 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.
ER -