Diagonally Implicit Block Backward Differentiation Formula for Solving Linear Second Order Ordinary Differential Equations

被引:2
|
作者
Zainuddin, N. [1 ,2 ]
Ibrahim, Z. B. [1 ]
Othman, K. I. [3 ]
机构
[1] Univ Putra Malaysia, Fac Sci, Inst Math Res, Dept Math, Serdang 43400, Selangor, Malaysia
[2] Univ Teknol PETRONAS, Dept Fundamental & Appl Sci, Tronoh 31750, Perak, Malaysia
[3] UiTM Malaysia, Fac Math & Comp Sci, Dept Math, Shah Alam 40450, Selangor, Malaysia
关键词
STIFF ODES;
D O I
10.1063/1.4898447
中图分类号
O59 [应用物理学];
学科分类号
摘要
The three point block method for solving second order ordinary differential equations (ODEs) directly using constant step size is derived. The reliability of this new method is verified in the numerical results with the improved performance in terms of computation time while maintaining the accuracy. The comparison is presented between the new method and classical backward differentiation formulas (BDF) of order 3.
引用
收藏
页码:69 / 75
页数:7
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