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SBVP 1.0 Package

by Ewa Weinmueller

 

06 Mar 2002 (Updated 03 Nov 2009)

Code covered by BSD License  

Solves boundary value problems, y'= f(t,y), where f may be singular.

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Description

SBVP 1.0 (SingularBVP) is designed to solve first order BVPs of the form

y'(t) = f(t,y(t)), a < t < b,
R(y(a),y(b)) = 0.

The right-hand side f may contain singularities of the first kind, f(t,y(t)) = M(t)/(t-a) + g(t,y(t)), where M(t) is a matrix which depends continuously on t and g is a smooth vector-valued function.
 
The underlying numerical method is collocation. The default choice is collocation at equidistant points, Gaussian points are optional. The code is suitable for a wide range of tolerances. For efficiency, the order of the method is chosen with respect to the prescribed solution accuracy.

We control the global error of the solution, which is estimated using a modified Defect Correction approach. This global error estimate is the basis for a mesh selection strategy where the mesh is adapted in order to equidistribute the global error of the solution.
For more information and publications visit my homepage at

http://www.math.tuwien.ac.at/~ewa

and follow the link "Software".

Updated to run with MATLAB 6.5. Some minor bugs and inconveniences have been eliminated as well.

MATLAB release MATLAB 6.0 (R12)
Zip File Content  
Other Files
license.txt,
manual.pdf,
Sbvp 1.0 public for Matlab 6.5/Demo/demofile1.m,
Sbvp 1.0 public for Matlab 6.5/Demo/demofile2.m,
Sbvp 1.0 public for Matlab 6.5/Demo/demofile3.m,
Sbvp 1.0 public for Matlab 6.5/Demo/demofile4.m,
Sbvp 1.0 public for Matlab 6.5/Demo/demofile5.m,
Sbvp 1.0 public for Matlab 6.5/Demo/demofile6.m,
Sbvp 1.0 public for Matlab 6.5/OutputFunctions/sbvpphas2.m,
Sbvp 1.0 public for Matlab 6.5/OutputFunctions/sbvpphas3.m,
Sbvp 1.0 public for Matlab 6.5/OutputFunctions/sbvpplot.m,
Sbvp 1.0 public for Matlab 6.5/readme.txt,
Sbvp 1.0 public for Matlab 6.5/sbvp.m,
Sbvp 1.0 public for Matlab 6.5/sbvpcol.m,
Sbvp 1.0 public for Matlab 6.5/sbvperr.m,
Sbvp 1.0 public for Matlab 6.5/sbvpset.m
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Comments and Ratings (3)
30 Sep 2003 brahim taoufik

i think it's very best subroutine yhank you EWA you are very attrative too

16 Sep 2005 Berta Neto  
27 Feb 2008 shahzad ahmad

I am shahzad ahmad.I am Ph.D schloler

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Updates
31 Jan 2003

Typing error "ink" instead of "link" in Description.

24 May 2004

Typing error "ink" instead of "link" in Description.
Exchange of the corrupted file manual.pdf.

03 Nov 2009

Minor typing error corrected.

03 Nov 2009

Minor typing error corrected.

Tag Activity for this File
Tag Applied By Date/Time
differential equations Ewa Weinmueller 22 Oct 2008 06:42:49
ordinary differential equations Ewa Weinmueller 22 Oct 2008 06:42:49
boundary value problems Ewa Weinmueller 22 Oct 2008 06:42:49
singular Ewa Weinmueller 22 Oct 2008 06:42:49
 

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