الفهرس 
Chapter 0. IntroductionOnly 14 pages are availabe for public view
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Abstract
The study of the numerical solution of partial integro-differential equations is of a huge interest in almost all areas of engineering and science. Its importance originates from the difficulty to solve them analytically. In this thesis, an effective numerical scheme for solving integro-differential equations is presented. This method can be applied to problems involving convection terms and weakly singular kernel.
Our method is obtained by combining a fourth order finite difference scheme with the characteristic method for the time step solution. Analysis of numerics shows that the suggested method is accurate with respect to some exact solutions of some numerical experiments. Besides, we discuss some theoretical applications that show the stability and convergence analysis of the approximate solution. Related ongoing work is introduced.