NUMERICAL SOLUTIONS AND THEIR SUPERCONVERGENCE FOR WEAKLY SINGULAR INTEGRAL EQUATIONS WITH DISCONTINUOUS COEFFICIENTS
1998 ◽
Vol 3
(1)
◽
pp. 104-113
Keyword(s):
The piecewise polynomial collocation method is discussed to solve second kind Fredholm integral equations with weakly singular kernels K (t, s) which may be discontinuous at s = d, d = const. The main result is given in Theorem 4.1. Using special collocation points, error estimates at the collocation points are derived showing a more rapid convergence than the global uniform convergence in the interval of integration available by piecewise polynomials.
2018 ◽
Vol 23
(4)
◽
pp. 639-664
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1990 ◽
Vol 55
(191)
◽
pp. 213-213
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2017 ◽
Vol 132
(5)
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2006 ◽
Vol 6
(4)
◽
pp. 436-442
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