Browsing by Author "Atnaw Malede"

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    Eigenpairs of Fredholm Integral Operators With Separable Kernel
    (Addis Ababa University, 2012-02-02) Atnaw Malede; Abdi Tadesse (PhD)
    An integral equation is an equation in which the unknown function appears in the integrand. There are different types of integral equations, among these Fredholm integral equation is an integral equation with constant limit of integration. Depending on the appearance of the unknown function we have three kinds of Fredholm integral equations, first kind, second kind and third kind. In this project we discuss the techniques of solving Fredholm integral equations. Even though, it is difficult to find the solution of each kind, we consider the solution of the first kind in terms of a linear combination of eigenpairs of separable kernel. The solution of the second kind is also determined by using different decomposition methods.