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A Collocation Method Via The Quasi-Affine Biorthogonal Systems For Solving Weakly Singular Type Of Volterra-Fredholm Integral Equations, Mutaz Mohammad, Carlo Cattani
A Collocation Method Via The Quasi-Affine Biorthogonal Systems For Solving Weakly Singular Type Of Volterra-Fredholm Integral Equations, Mutaz Mohammad, Carlo Cattani
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© 2020 Faculty of Engineering, Alexandria University Tight framelet system is a recently developed tool in applied mathematics. Framelets, due to their nature, are widely used in the area of image manipulation, data compression, numerical analysis, engineering mathematical problems such as inverse problems, visco-elasticity or creep problems, and many more. In this manuscript we provide a numerical solution of important weakly singular type of Volterra - Fredholm integral equations WSVFIEs using the collocation type quasi-affine biorthogonal method. We present a new computational method based on special B-spline tight framelets and use it to introduce our numerical scheme. The method provides …