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

共 50 条

[31] Numerical solving of coupled systems of parabolic and ordinary differential equations
Skakauskas, V.
Katauskis, P.
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2010, 15 (03): : 351 - 360
[32] Numerical methods based on multipoint Hermite interpolating polynomials for solving the Cauchy problem for stiff systems of ordinary differential equations
Latypov A.F.
Nikulichev Yu.V.
Computational Mathematics and Mathematical Physics, 2007, 47 (2) : 227 - 237
[33] NUMERICAL TECHNIQUE FOR SOLVING STIFF ORDINARY DIFFERENTIAL-EQUATIONS ASSOCIATED WITH CHEMISTRY KINETICS OF REACTIVE-FLOW PROBLEMS
YOUNG, TR
ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 1977, 173 (MAR20): : 152 - 152
[34] On one class of numerical methods for solving stiff systems of differential equations
I. K. Daugavet
Vestnik St. Petersburg University: Mathematics, 2012, 45 (1) : 1 - 6
[35] On One Class of Numerical Methods for Solving Stiff Systems of Differential Equations
Daugavet, I. K.
VESTNIK ST PETERSBURG UNIVERSITY-MATHEMATICS, 2012, 45 (01) : 1 - 6
[36] Numerical Solution of Stiff Systems of Ordinary Differential Equations by Conversion to the Shannon Form
Chikurov N.G.
Mathematical Models and Computer Simulations, 2021, 13 (5) : 763 - 773
[37] NUMERICAL-METHODS FOR EXTREMELY STIFF SYSTEMS OF ORDINARY DIFFERENTIAL-EQUATIONS
BUI, TD
BUI, TR
APPLIED MATHEMATICAL MODELLING, 1979, 3 (05) : 355 - 358
[38] AN ALGORITHM FOR SOLVING ORDINARY DIFFERENTIAL-EQUATIONS FOR CONTROLLING COMPUTERS
PROTOPOPOV, VA
USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1984, 24 (03): : 86 - 88
[39] Magnus series expansion method for solving nonhomogeneous stiff systems of ordinary differential equations
Atay, Mehmet T.
Eryilmaz, Aytekin
Komez, Sure
KUWAIT JOURNAL OF SCIENCE, 2016, 43 (01) : 25 - 38
[40] AUTOMATIC SELECTION OF METHODS FOR SOLVING STIFF AND NONSTIFF SYSTEMS OF ORDINARY DIFFERENTIAL-EQUATIONS
PETZOLD, L
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1983, 4 (01): : 136 - 148

← 1 2 3 4 5 →