Application of Splines of the Second Order Approximation to Volterra Integral Equations of the Second Kind. Applications in Systems Theory and Dynamical Systems

I. G. Burova, G. O. Alcybeev
2021 North atlantic university union: International Journal of Circuits, Systems and Signal Processing  
This paper discusses the application of local interpolation splines of the second order of approximation for the numerical solution of Volterra integral equations of the second kind. Computational schemes based on the use of polynomial and non-polynomial splines are constructed. The advantages of the proposed method include the ability to calculate the integrals which are present in the computational methods. The application of splines to the solution of nonlinear Volterra integral equations is
more » ... also discussed. The results of numerical experiments are presented
doi:10.46300/9106.2021.15.8 fatcat:wj5zgl62lrbvrov456iftwgsaa