We presented an interpolation method for solving weakly singular Volterra integral
equations of the second kind (SVK2). The method based on the barycentric Lagrange …

In this study, we applied an advanced barycentric Lagrange interpolation formula to find the
interpolate solutions of weakly singular Fredholm integral equations of the second kind. The …

In this paper, based on the operation matrix of the fractional order Chebyshev cardinal
function (FOCCF), the accurate and effective method for solving two different forms of …

We establish a new straightforward interpolation method for solving linear Volterra integral
equations with weakly singular kernels. The proposed method is fundamentally different …

in this work, we present an advanced interpolation method via the Vandermonde matrix for
solving weakly singular Volterra integral equations of the second kind. The optimal rules for …

The solution of the second kind weakly singular Volterra integral equations (VIEs) was
solved applying an interpolation technique based on the Vandermonde matrix. We devised …

We investigate new, straightforward methods for interpolating and integrating discontinuous
single and two-variable real valued functions. The method is based on some modified matrix …

In this paper, a new approach to time-fractional partial integro-differential equations with
weakly singular kernels (TFPIDE) is presented. The suggested method produces a spectral …

The nonlinear Volterra–Fredholm integral Equation (NVFIE) with a singular kernel is
discussed such that the kernel of position can take the Hilbert kernel form, Carleman …

This study investigates a numerical method based on the Jacobi–Gauss quadrature for
solving Fredholm integral equations of the first kind with a weakly singular kernel by …