Solving a class of system of Volterra integro-differential equations using B-spline functions

Abstract EN

In this paper we propose an approach to the approximation for a system of first order linear Volterra inlegro-ordinary differential equations LVIODEs.

In this approach, B-spline basis functions which is dependent on control parameters is first formulated using matrix equations.

We then focus on the two features of the B - spline ftinctions, convergence and stability.

Numerical results, including the solution of LVIODEs show the effectiveness that can be achieved using the proposed formula of the B - spline functions.