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

作者：Zainuddin Nooraini; Ibrahim Zarina Bibi^*; Othman Khairil Iskandar; Suleiman Mohamed

来源：Chiang Mai Journal of Science, 2016, 43(5): 1170-1180.

• block method
• second order ODEs
• stiff

In this paper, a new fifth order Direct Block Backward Differentiation Formula (5-DBBDF) for solving second order stiff ordinary differential equations (ODEs) is presented. Five backwards steps are used to generate the coefficients of the 5-DBBDF. This method approximates the solutions at two points concurrently by using fixed step size and solved the second order ODEs directly without reducing the ODEs to a system of first order. Numerical results on some standard problems found in the literature are presented to validate the accuracy of the proposed method.

• 出版日期2016-10