A BVP solver based on residual control and the MATLAB PSE

被引：526

作者：

Kierzenka, J

Shampine, LF

机构：

[1] MathWorks Inc, Natick, MA 01760 USA

[2] So Methodist Univ, Dept Math, Dallas, TX 75275 USA

[3] Univ Western Ontario, Ontario Res Chair Comp Algebra, London, ON N6A 3K7, Canada

来源：

ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE | 2001年 / 27卷 / 03期

关键词：

algorithms; collocation method; MATLAB; residual control;

D O I：

10.1145/502800.502801

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

Our goal was to make it as easy as possible to solve a large class of boundary value problems (BVPs) for ordinary differential equations in the MATLAB problem solving environment (PSE). We present here theoretical and software developments resulting in bvp4c, a capable BVP solver that is exceptionally easy to use.

引用

页码：299 / 316

页数：18

共 17 条

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[Anonymous], 1995, NUMERICAL SOLUTION B

[2]

Cash J. R., 1980, BIT, V20, P44, DOI DOI 10.1007/BF01933584

[3] A DEFERRED CORRECTION METHOD FOR NONLINEAR 2-POINT BOUNDARY-VALUE-PROBLEMS - IMPLEMENTATION AND NUMERICAL EVALUATION [J].