College of Science

On The Volume And Integral Points Of A polyhedron In

Computing the volume and integral points of a polyhedron in is a very important subject in different areas of mathematics. There are two representations for the polyhedron, namely the H-representation and the V-representation. For each representation we give a different method of finding the volume and number of integral points. Moreover, the Ehrhart polynomial of a bounded polyhedron is discussed with some methods for finding it.

English

Analytical Study and Approximated Methods for Solving Fractional Order Partial Differential Equations

         This thesis is concerned basically with establishing theoretical background for the Riemann-Liouville definition of fractional differentiation and integration of the function of several variables and solving certain type of fractional partial differential equations using some approximated methods.

English