A Nyström method for a class of Fredholm integral equations on the real semiaxis
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DOI: 10.1007/s10092-016-0199-7
Abstract: A class of Fredholm integral equations of the second kind, with respect to the exponential weight function $$w(x)=\exp (-(x^{-\alpha }+x^\beta ))$$w(x)=exp(-(x-α+xβ)), $$\alpha >0$$α>0, $$\beta >1$$β>1, on $$(0,+\infty )$$(0,+∞), is considered. The kernel k(x, y) and the… read more here.
Keywords: integral equations; fredholm integral; class fredholm; nystr method ... See more keywords
Numerical solution of nonlinear two-dimensional Fredholm integral equations of the second kind using Sinc Nyström method
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DOI: 10.1080/00207160.2017.1411591
Abstract: ABSTRACT In this paper, a double-exponential (DE) Sinc Nyström method is utilized to solve nonlinear two-dimensional Fredholm integral equations of the second kind. Using the DE transformation, the Sinc quadrature rule for a definite integral… read more here.
Keywords: nonlinear two; sinc nystr; nystr method; method ... See more keywords