COLNEW
Boundary Value Problem Solver Using Collocation


COLNEW is a FORTRAN77 library which solves a mixed-order system of ordinary differential equations (ODE's) subject to separated, multipoint boundary conditions, using collocation at Gaussian points, by Uri Ascher and Georg Bader.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

COLNEW is available in a FORTRAN77 version.

Related Data and Programs:

BVPSOL, a FORTRAN77 library which solves highly nonlinear two point boundary value problems using a local linear solver (condensing algorithm) or a global sparse linear solver for the solution of the arising linear subproblems, by Peter Deuflhard, Georg Bader, Weimann.

FD1D_BVP, a FORTRAN77 program which applies the finite difference method to a two point boundary value problem in one spatial dimension.

FEM1D_BVP_LINEAR, a FORTRAN77 program which applies the finite element method, with piecewise linear elements, to a two point boundary value problem in one spatial dimension, and compares the computed and exact solutions with the L2 and seminorm errors.

MUS, a FORTRAN77 library which implements the multiple shooting method for two point boundary value problems, for linear or nonlinear cases, by Robert Mattheij and G Staarink.

Author:

Uri Ascher, Georg Bader

Reference:

  1. Uri Ascher, Robert Mattheij, Robert Russell,
    Numerical Solution of Boundary Value Problems for Ordinary Differential Equations,
    Prentice Hall, 1988,
    ISBN: 0-13-627266-5,
    LC: QA379.A83.

Source Code:

Examples and Tests:

List of Routines:

You can go up one level to the FORTRAN77 source codes.


Last revised on 11 March 2013.