الفهرس | Only 14 pages are availabe for public view |
Abstract The main objective of the work is to detect and develop the computational algorithms for the exact evaluation of bounded interval connection coefficients. These connection coefficients are integrals with integrands involving products of wavelet bases and their derivatives or integrals. In this thesis, we detect and develop seven connection coefficients to obtain more accurate results than before. Also, we derive a new set of three connection coefficients. Then, applying these algorithms to solve some applications like second order Fredholm integrodifferential equations by waveletGalerkin and waveletcollocation methods in the following three cases: 1.?Linear with separable Kernel function. 2.?Linear with nonseparable Kernel function. 3.?Nonlinear with separable Kernel function. Key words: Wavelet Connection Coefficient Numerical Methods Galerkin Approach Integrodifferential Equations. |