{
"title": "Parallel Block Backward Differentiation Formulas for Solving Ordinary Differential Equations",
"authors": "Khairil Iskandar Othman, Zarina Bibi Ibrahim, Mohamed Suleiman",
"country": null,
"institution": null,
"volume": "16",
"journal": "International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering",
"pagesStart": 257,
"pagesEnd": 260,
"ISSN": "1307-6892",
"URL": "http:\/\/waset.org\/publications\/7693",
"abstract": "A parallel block method based on Backward\r\nDifferentiation Formulas (BDF) is developed for the parallel solution\r\nof stiff Ordinary Differential Equations (ODEs). Most common\r\nmethods for solving stiff systems of ODEs are based on implicit\r\nformulae and solved using Newton iteration which requires repeated\r\nsolution of systems of linear equations with coefficient matrix, I -\r\nh\u03b2J . Here, J is the Jacobian matrix of the problem. In this paper,\r\nthe matrix operations is paralleled in order to reduce the cost of the\r\niterations. Numerical results are given to compare the speedup and\r\nefficiency of parallel algorithm and that of sequential algorithm.",
"references": null,
"publisher": "World Academy of Science, Engineering and Technology",
"index": "International Science Index 16, 2008"
}