@inproceedings{scholars6625, title = {On the convergence of two point block backward differentiation formula for second order ODEs}, publisher = {American Institute of Physics Inc.}, journal = {AIP Conference Proceedings}, doi = {10.1063/1.4968155}, year = {2016}, volume = {1787}, note = {cited By 1; Conference of 4th International Conference on Fundamental and Applied Sciences, ICFAS 2016 ; Conference Date: 15 August 2016 Through 17 August 2016; Conference Code:125141}, isbn = {9780735414518}, author = {Zainuddin, N. and Ibrahim, Z. B. and Jamaludin, N.}, issn = {0094243X}, abstract = {The Two Point Block Backward Differentiation Formula (BBDF2) is a direct solver for second order Ordinary Differential Equations (ODEs). It had shown its efficiency by having less total number of steps and less computational time over the first order ODEs solver. In this paper, the convergence of the BBDF2 is justified by its consistency and zero-stability properties. {\^A}{\copyright} 2016 Author(s).}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85005993278&doi=10.1063\%2f1.4968155&partnerID=40&md5=e1c0cf3ec54f5c9132b6414dfa04ccb7} }