Solving a Class of System of Volterra Integro-Differential Equations Using B - spline Functions

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 functions, 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.