International Congress on Recent Innovations in Engineering, Science and Technology - Istanbul - Turkey (2019-10-31)

A pseudo-spline based method for solving singular Fredholm integral equations
In this paper, we present a new computational method for solving linear Fredholm integral equations of the second kind, which is based on the use of B-spline quasi-affine tight framelet systems generated by the unitary and oblique extension principles. We convert the integral equation to a system of linear equations. We provide an example of the construction of quasi-affine tight framelet systems. We also give some numerical evidence to illustrate our method. The numerical results confirm that the method is efficient, very effective and accurate
Dr. Mutaz Mohammad