Behaviour of solutions of the volterra integro-differential equations using numerical methods
Abstract
This paper is interested in solving Volterra integro-differential equation with associated initial
condition. The Implicit Euler method was used to approximate the derivatives and the Explicit
Euler method to approximate the integral as the numerical schemes. The result shows that the
long term qualitative behaviour of the solutions obtained from the schemes with different choices
of λ and step-sizes of h values are independent of the parameters. Finally, the comparison of the
exact solution of the original integro-differential equation (1) with the numerical schemes shows
that the qualitative behaviour of the solutions are all the same.