Author : Emil Sobhy Saad Shokrallah
CoAuthors : Shoukralla, E. S., EL-Serafi, S. A., Saber, Nermein A,
Source : Mathematics and Computer Science Journal MCSJ
Date of Publication : 03/2016
Abstract :
A combine method is given for the approximate solution of Fredholm
integral equations of the second kind. The proposed method based on
the iteration techniques, while the kernel and the given known functions
of the integral equation are approximated by Maclaurin polynomials of
degree n with error estimations. The convergence of the solution is
studied and the conditions for the convergent solution is given. An
algorithm of the obtained solution is established via matrices. Thus
reducing the required solution so that only one coefficient matrix is
required to be computed. Therefore, computational complexity can be
considerably reduced and much computational time can be saved. The
new proposed approach needs a small number of iterations to provide
an exact result, that proofs the power of the presented combine method
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