Fifth order variable step block backward differentiation formulae for solving stiff ODEs

被引：0

作者：

Yatim, S.A.M. ^{[1
]}

Ibrahim, Z.B. ^{[1
]}

Othman, K.I. ^{[2
]}

Ismail, F. ^{[1
]}

机构：

[1] Mathematics Department, Faculty of Science, Universiti Putra Malaysia, 43400 UPM, Serdangm, Selangor Darul Ehsan, Malaysia

[2] Department of Mathematics, Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, 40450 Shah Alam, Selangor Darul Ehsan, Malaysia

来源：

World Academy of Science, Engineering and Technology | 2010年 / 62卷

关键词：

Initial value problems - Ordinary differential equations;

D O I：

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学科分类号：

摘要：

The implicit block methods based on the backward differentiation formulae (BDF) for the solution of stiff initial value problems (IVPs) using variable step size is derived. We construct a variable step size block methods which will store all the coefficients of the method with a simplified strategy in controlling the step size with the intention of optimizing the performance in terms of precision and computation time. The strategy involves constant, halving or increasing the step size by 1.9 times the previous step size. Decision of changing the step size is determined by the local truncation error (LTE). Numerical results are provided to support the enhancement of method applied.

引用

页码：998 / 1000