الفهرس 
AbstractOnly 14 pages are availabe for public view
 |  | from | 130 |  |  |
| | | from | 130 | | |
Abstract
Partial integro differential equations (PIDEs) are considered one of the prevalent equations in many engineering, physical and chemical fields. Approximate solutions to these equations are of great importance due to the limit availability of their exact solutions especially on complex domains. There are several methods used to obtain approximate solutions to PIDEs including Chebyshev collocation method and finite element method (FEM).In this thesis, we utilized two techniques to approximate the solution of parabolic and hyperbolic PIDEs. The first one is adaptive FEM which is based on a recovery type error estimator, and the second technique is Chebyshev polynomials and finite difference method. A priori error estimate for the Chebyshev collocation method is deduced. The accuracy of the two proposed technique is illustrated by some numerical experiments. Comparisons between the results of two methods are done to illustrate the advantages and disadvantages of each method.