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A numerical treatment to the solution of certain first kind Fredholm integral equations. (English) Zbl 0817.65144
This paper presents results obtained by an implementation of the kernel basis method to the solution of \[ \int^ b_ a e(t) \exp[s f(t)] u(t) dt= v(s), \] \(c\leq s\leq d\), where \(v(s)\) is a given function and the range \([c, d]\) of values \(s\) does not necessarily coincide with the range of integration \([a,b]\). Test examples are used to show that the numerical solution is comparable to the exact one.
65R20 Numerical methods for integral equations
65R30 Numerical methods for ill-posed problems for integral equations
45B05 Fredholm integral equations
Full Text: DOI
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