2020
DOI: 10.3846/mma.2020.11093
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Discrete Modified Projection Methods for Urysohn Integral Equations With Green’s Function Type Kernels

Abstract: 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… Show more

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Cited by 4 publications
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“…The discrete versions of the Galerkin methods for Urysohn integral with Green's kernel, are investigated in [6], [4]. Whereas, in [17], a different version of discrete projection method is discussed.…”
mentioning
confidence: 99%
“…The discrete versions of the Galerkin methods for Urysohn integral with Green's kernel, are investigated in [6], [4]. Whereas, in [17], a different version of discrete projection method is discussed.…”
mentioning
confidence: 99%