A quantitative comparison of numerical method for solving stiff ordinary differential equations

• Main Authors: Mohd Yatim, Siti Ainor, Ibrahim, Zarina Bibi, Othman, Khairil Iskandar, Suleiman, Mohamed
• Format: Article
• Language: English
• Published: Hindawi Publishing Corporation 2011
• Online Access: http://psasir.upm.edu.my/id/eprint/25026/1/25026.pdf; http://psasir.upm.edu.my/id/eprint/25026/; https://www.hindawi.com/journals/mpe/2011/193691/abs/

We derive a variable step of the implicit block methods based on the backward differentiation formulae (BDF) for solving stiff initial value problems (IVPs). A simplified strategy in controlling the step size is proposed with the aim of optimizing the performance in terms of precision and computatio...