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- Title
COMPLEX B-SPLINE COLLOCATION METHOD FOR SOLVING WEAKLY SINGULAR VOLTERRA INTEGRAL EQUATIONS OF THE SECOND KIND.
- Authors
RAMEZANI, M.; JAFARI, H.; JOHNSTON, S. J.; BALEANU, D.
- Abstract
In this paper we propose a new collocation type method for solving Volterra integral equations of the second kind with weakly singular kernels. In this method we use the complex Bspline basics in collocation method for solving Volterra integral. We compare the results obtained by this method with exact solution. A few numerical examples are presented to demonstrate the effectiveness of the proposed method.
- Subjects
SPLINES; COLLOCATION methods; VOLTERRA equations; NUMERICAL solutions to differential equations; KERNEL (Mathematics)
- Publication
Miskolc Mathematical Notes, 2015, Vol 16, Issue 2, p1091
- ISSN
1787-2405
- Publication type
Article
- DOI
10.18514/MMN.2015.1469