Browsing by Author "AMMAR BENDJABRI"

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    ON THE NUMERICAL SOLUTION OF FREDHOLM INTEGRAL EQUATION OF THE FIRST KIND
    (Université de M'sila, 2021) AMMAR BENDJABRI
    In this work we concern with the approximate solution of the linear equation Af  f where A is injective and compact operator, this equation admits a unique solution in direct sense or in the least square sense provided the right-hand side f is in RA or in     ,  R A  R A respectively. Due to the nonclosed range RA the solution is not stable. Besides, if A is positive de.nite we can replace the original equation by the auxiliary one   A  f where its solution  exist, stable and converges to the exact solution  of the original equation as  tends to zero.