superconvergence of volterra-urysohn integral with weakly singular kernel by iterated jacobi spectral multi galerkin method

We propose the iterated jacobi spectral multi galerkin method for weakly singular volterra integral equations of urysohn type and obtain the superconvergence results in uniform norm. the convergence analysis is discussed in two cases: when the solution is sufficiently smooth and when it is not. to back up our theoretical approach, we present numerical findings.