A piecewise polynomial approximation to the solution of an integral equation with weakly singular kernel
- 1 April 1981
- journal article
- research article
- Published by Cambridge University Press (CUP) in The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
- Vol. 22 (4) , 431-438
- https://doi.org/10.1017/s0334270000002770
Abstract
We construct collocation methods with an arbitrary degree of accuracy for integral equations with logarithmically or algebraically singular kernels. Superconvergence at collocation points is obtained. A grid is used, the degree of non-uniformity of which is in good conformity with the smoothness of the solution and the desired accuracy of the method.Keywords
This publication has 2 references indexed in Scilit:
- The properties of solutions of weakly singular integral equationsThe Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1981
- Approximate Solution of Operator EquationsPublished by Springer Nature ,1972