The mechanical quadrature method for linear and nonlinear Volterra’s integral equations of the second kind. – I. O. Isaac
This paper studies the numerical evaluation of volterra’s integral equations of the second kind. A deliberate attempt is made to deviate from the traditional method of representing the unknown solution by means of resolvent. This is actualized with the aid of the mechanical quadrature method. The problem is solved in Banach space setting. Some numerical results are obtained for the cases of linear and nonlinear equations.
Keywords: Volterra’s integral equations, Mechanical quadrature.