Numerical solution of weakly singular integro-differential equations
Authors :
Mostefa NADIR
Author Address :
Department of Mathematics, Faculty of Mathematics and Informatics, University of Msila, 28000, Msila, Algeria.
Abstract :
In this work, we prove the existence and uniqueness of the solution of weakly singular integro-differential equations. After some transformations direct numerical schemes using collocation methods are proposed for any peicewise closed contours.
Keywords :
Weakly singular integral equation, singular integral equation, approximation theory, collocation methods.
DOI :
Article Info :
Received : December 18, 2014; Accepted : March 25, 2015.
