Numerical solution of linear Volterra integral equations of the first kind
Issues concerning numerical solution of linear Volterra integral equations of the first kind with a differentiable kernel that degenerates at the initial point of the diagonal are studied in this paper. The equation under consideration is reduced to the Volterra integral equation of the third kind and a numerical method was developed on the basis of the regularized equation. The convergence of the numerical solution to the exact solution of the Volterra integral equation of the first kind was proved, an estimate of the permissible error and a recursive formula of the computational process were obtained.