Bai, Fan (2011) Collocation methods for weakly singular volterra integral equations with vanishing delays. Masters thesis, Memorial University of Newfoundland.
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Abstract
We will present results on the representation and the regularity of exact solution for the Volterra integral equations with singular kernels and vanishing delays. We then use the collocation method to approximate the solutions for the Volterra integral equations. It is then shown the global order of convergence of the collocation solutions. Our theoretical results are confirmed in a series of numerical tests.
| Item Type: | Thesis (Masters) |
|---|---|
| URI: | http://research.library.mun.ca/id/eprint/10119 |
| Item ID: | 10119 |
| Additional Information: | Includes bibliographical references (leaves 95). |
| Department(s): | Science, Faculty of > Mathematics and Statistics |
| Date: | 2011 |
| Date Type: | Submission |
| Library of Congress Subject Heading: | Volterra equations--Numerical solutions; Collocation methods; Integral equations; Functional analysis. |
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