Progress On The Development Of B-spline Collocation For The Solution
Of Differential Model Equations: A Novel Algorithm For Adaptive Knot
Insertion
Author(s)
R. W. Johnson
Abstract
Progress on the development of B-spline
collocation for the solution of differential model
equations: a novel algorithm for adaptive knot
insertion
R.W. Johnson
Idaho National Engineering and Environmental Laboratory, USA
Abstract
The application of collocation methods using spline basis functions to solve
differential model equations has been in use for a few decades. However, the
application of spline collocation to the solution of the nonlinear, coupled, partial
differential equations (in primitive variables) that define the motion of fluids has
only recently received much attention. The issues that affect the effectiveness
and accuracy of B-spline collocation for solving differential equations include
which points to use for collocation, what degree B-spline to use and what level of
continuity to maintain. Success using higher degree B-spline curves having
higher continuity at the knots, as opposed to more traditional approaches using
orthogonal collocation, have recently been investigated
Keywords
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