DISCRETE MODIFIED PROJECTION METHODS FOR URYSOHN INTEGRAL EQUATIONS WITH GREEN’S FUNCTION TYPE KERNELS
Keyword(s):
In the present paper we consider discrete versions of the modified projection methods for solving a Urysohn integral equation with a kernel of the type of Green’s function. For r ≥ 0, a space of piecewise polynomials of degree ≤ r with respect to an uniform partition is chosen to be the approximating space. We define a discrete orthogonal projection onto this space and replace the Urysohn integral operator by a Nyström approximation. The order of convergence which we obtain for the discrete version indicates the choice of numerical quadrature which preserves the orders of convergence in the continuous modified projection methods. Numerical results are given for a specific example.
Keyword(s):
1983 ◽
Vol 23
(4)
◽
pp. 1687-1688
◽
1984 ◽
Vol 10
(1)
◽
pp. 25-31
◽
2014 ◽
Vol 19
(1)
◽
pp. 127-143
◽
2012 ◽
Vol 24
(1)
◽
pp. 39-79
◽
Keyword(s):
1979 ◽
Vol 40
(C5)
◽
pp. C5-112-C5-113
Keyword(s):
1985 ◽
Vol 46
(C4)
◽
pp. C4-321-C4-329
◽
2014 ◽
Vol 17
(N/A)
◽
pp. 89-145
◽
Keyword(s):