A Numerical Algorithm for Solving Stiff Ordinary Differential Equations

被引：6

作者：

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

Ibrahim, Z. B. ^{[2
]}

Othman, K. I. ^{[3
]}

Suleiman, M. B. ^{[2
]}

机构：

[1] Univ Sains Malaysia, Sch Distance Educ, George Town 11800, Malaysia

[2] Univ Putra Malaysia, Fac Sci, Dept Math, Serdang 43400, Malaysia

[3] Univ Teknol MARA, Fac Comp & Math Sci, Dept Math, Shah Alam 40450, Malaysia

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2013年 / 2013卷

关键词：

INITIAL-VALUE PROBLEMS; SYSTEMS; MATLAB;

D O I：

10.1155/2013/989381

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

An advanced method using block backward differentiation formula (BBDF) is introduced with efficient strategy in choosing the step size and order of the method. Variable step and variable order block backward differentiation formula (VSVO-BBDF) approach is applied throughout the numerical computation. The stability regions of the VSVO-BBDF method are investigated and presented in distinct graphs. The improved performances in terms of accuracy and computation time are presented in the numerical results with different sets of test problems. Comparisons are made between the proposed method and MATLAB's suite of ordinary differential equations (ODEs) solvers, namely, ode15s and ode23s.

引用

页数：11

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