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Title روش كمترين توانهاي دوم وزندار براي حل معادلات انتگرال فردهلم نوع اول
Type Presentation
Keywords Ill-posed problem, First kind integral equation, Iterative method, LS method.
Abstract Weighted least squares(WLS) method is proposed to solve quadrature discretization of various first kind Fredholm integral equations with continuous kernels. The WLS method uses a new inner product instead of the Euclidean one arising from discretization of L2-inner product by the quadrature formula. On this basis, the pro- posed algorithm generates a sequence of vectors which are approximations of solution at the quadrature points. Numerical experiments on a few model problems are used to illustrate the performance of the new methods compared to the least squares(LS) method.
Researchers Saeed Karimi (First researcher) ,