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

• المؤلفون الرئيسيون: Nooraini Zainuddin, Zarina Bibi Ibrahim, Khairil Iskandar Othman, Mohamed Suleiman
• التنسيق: บทความวารสาร
• اللغة: English
• منشور في: Science Faculty of Chiang Mai University 2019
• الوصول للمادة أونلاين: http://it.science.cmu.ac.th/ejournal/dl.php?journal_id=7375; http://cmuir.cmu.ac.th/jspui/handle/6653943832/63811
• المؤسسة: Chiang Mai University

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.