Collocation methods are a well-developed approach for the numerical solution of smooth and weakly singular Volterra integral equations. In this paper, we extend these methods through the use of partitioned quadrature based on the qualocation framework, to allow the efficient numerical solution of linear, scalar Volterra integral equations of the second kind with smooth kernels containing sharp ...

In this work, we have studied a numerical scheme based on Sinc collocation method to solve class of nonlinear singularly perturbed boundary value problems. The solution the problems exhibit layer both sides or one side domain due presence perturbation parameter ?. can control oscillations in computed solutions at regions naturally because distribution points is denser near boundaries. convergen...

This paper is devoted to investigating the numerical solution for a class of fractional diffusion-wave equations with a variable coefficient where the fractional derivatives are described in the Caputo sense. The approach is based on the collocation technique where the shifted Chebyshev polynomials in time and the sinc functions in space are utilized, respectively. The problem is reduced to the...