Direct Block Backward Differentiation Formulas for Solving Second Order Ordinary Differential Equations

Ibrahim, Zarina Bibi; Suleiman, Mohamed; Othman, Khairil Iskandar
June 2008
Proceedings of World Academy of Science: Engineering & Technolog;Jun2008, Vol. 42, p57
Academic Journal
In this paper, a direct method based on variable step size Block Backward Differentiation Formula which is referred as BBDF2 for solving second order Ordinary Differential Equations (ODEs) is developed. The advantages of the BBDF2 method over the corresponding sequential variable step variable order Backward Differentiation Formula (BDFVS) when used to solve the same problem as a first order system are pointed out. Numerical results are given to validate the method.


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