Preconditioned Technique for Solving Fredholm Integral Equations of the First Kind with Orthogonal Triangular Functions
نویسندگان
چکیده
In this paper, a numerical approach based on an m-set of general, orthogonal triangular functions (TF) is proposed to approximate the solution of Fredholm integral equations of the first kind. By using the orthogonal triangular functions as a basis in Galerkin method, the solution of linear integral equations reduces to a system of algebric equations. If the recent system become ill-conditioned then we will use the preconditioned technique to convert above problem to well-conditioned. The convergence of the proposed method is established. Some numerical examples illustrate the proposed approach.
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