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NUMERICAL TREATMENT OF FREDHOLM INTEGRAL EQUATIONS OVER $(0, infty$ USING HILBERT TRANSFORM

NUMERICAL TREATMENT OF FREDHOLM INTEGRAL EQUATIONS OVER $(0, infty$ USING HILBERT TRANSFORM

In this paper, we present two types of integral equations of the second kind over semiaxis.Then we introduce a new numerical method by using the product rule, Nyström method and Hilbert Transform and prove that the proposed procedures are stable and convergent.The method reduces the integral equation to a system …