Abstract
We consider the numerical solution of two-point boundary value problems using the collocation method with equally spaced collocation points, and quadratic or cubic splines as the approximating function. Asymptotic bounds on the maximum error show that, in certain cases, the quadratic spline can give higher accuracy by a factor of between two and three, compared with the cubic spline case. Numerical tests support the theoretical results. © 1982 Academic Press Inc. (London) Limited.
| Original language | English |
|---|---|
| Pages (from-to) | 111-121 |
| Number of pages | 11 |
| Journal | IMA Journal of Numerical Analysis |
| Volume | 2 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 1982 |
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Khalifa, A. K. A., & Eilbeck, J. C. (1982). Collocation with quadratic and cubic splines. IMA Journal of Numerical Analysis, 2(1), 111-121. https://doi.org/10.1093/imanum/2.1.111