الفهرس 
Introduction
Biharmonic problems: historical reviewOnly 14 pages are availabe for public view
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Abstract
The primary purpose of the thesis is to present efficient numerical schemes using sinc bases functions for the solution of biharmonic problems, which are governed by the differential operator ∆2 ≡ ∇4. The sinc-Galerkin method is applied to solve biharmonic problems of the first and second kinds. It is also used to solve the biharmonic eigenvalue problem of rectangular clamped plates. Numerical results and comparisons showed excellent agreement with results of problems which have analytic solution or with those obtained using other approximation methods. Biharmonic problems with singular solutions at the boundaries were also considered. The thesis is organized as follows: In chapter one, an overview of biharmonic problems, their applications and solution methods are presented. In addition, thesis outline and work objectives are introduced. In chapter two, preliminaries of sinc functions are given. A brief introduction to the sinc-Galerkin method, the sinc-collocation method and the sinc- convolution method is given with a comparison between each method. In chapter three, the sinc-Galerkin method is developed for the solution of biharmonic problems of the first kind. A treatment of problems with inhomogeneous boundary conditions is also presented. Biharmonic problems with boundary conditions of the second kind are reduced to a system of coupled harmonic equations and are solved in chapter four, where a treatment to inhomo- geneous boundary conditions is given. The clamped plate eigenvalue problem is considered in chapter five. Comparisons with other methods in literature proved the accuracy of the
proposed scheme. Concluding remarks and suggested future work are given in chapter six.