Name
Title | ||
|---|---|---|
A collocation code for singular boundary value problems in ordinary differential equations |
Abstract | ||
|---|---|---|
We present a MATLAB package for boundary value problems in ordinary differential equa- tions. Our aim is the efficient numerical solution of systems of ODEs with a singularity of the first kind, but the solver can also be used for regular problems. The basic solution is computed using collocation methods and a new, efficient estimate of the global error is used for adaptive mesh selection. Here, we analyze some of the numerical aspects relevant for the implemen- tation, describe measures to increase the efficiency of the code and compare its performance with the performance of established standard codes for boundary value problems. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1023/A:1025531130904 | Numerical Algorithms |
Keywords | DocType | Volume |
collocation,singular boundary value problems | Journal | 33 |
Issue | ISSN | Citations |
1-4 | 1017-1398 | 4 |
PageRank | References | Authors |
0.69 | 3 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Winfried Auzinger | 1 | 56 | 10.48 |
| Günter Kneisl | 2 | 4 | 0.69 |
| Othmar Koch | 3 | 174 | 28.41 |
| Ewa Weinmüller | 4 | 118 | 24.75 |