The authors consider Volterra integral equations of the second kind with a weakly singular kernel of the form
and develop a Jacobi-collocation spectral method for the above integral equation. The main aim is to use Jacobi-collocation method to numerically solve Volterra integral equation on the interval . They obtain higher-order accuracy for the numerical approximation using a Jacobi spectral quadrature rule for the integral term.
Finally, numerical results are given by tables and figures. Numerical and exact solutions are compared by graphics in the -norm and -norm.