Numerical solution of a singularly perturbed Volterra integro-differential equation


Sevgin S.

ADVANCES IN DIFFERENCE EQUATIONS, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

Özet

We study the convergence properties of a difference scheme for singularly perturbed Volterra integro-differential equations on a graded mesh. We show that the scheme is first-order convergent in the discrete maximum norm, independently of the perturbation parameter. Numerical experiments are presented, which are in agreement with the theoretical results.

We study the convergence properties of a difference scheme for singularly perturbed Volterra integro-differential equations on a graded mesh. We show that the scheme is first-order convergent in the discrete maximum norm, independently of the perturbation parameter. Numerical experiments are presented, which are in agreement with the theoretical results.