الفهرس 
1.2 DefinitionsOnly 14 pages are availabe for public view
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Abstract
The main objective of this thesis, is to introduce an analytical and numerical treatment based on Finite Difference Method of Korteweg-de Vries Equation. In chapter 1, we introduce basic definitions and concepts. While in chapter 2, we use the averaged-finite difference method to solve Korteweg- de Vries Equation.The stability analysis is theoretically discussed. The proposed method is shown to be conditionally stable In chapter 3,the boundary control problem of the unforced generalized Burgers- Huxley equation with high order non linearity when the spatial domain is [0; 1]. We introduce numerical simulation for the controlled equation using the Adomian decomposition method (ADM) ,Finally in chapter 4, we concerned with obtaining numerical solutions for a class of convection-diffusion equations (CDEs) with variable coefficients. We implement all four kinds of shifted Chebyshev polynomials in combination with sinc functions to introduce an approximate solution for CDEs.