American Journal of Mathematics and Physics Application (AJMPA)
Exponentially-fitted Third-Order Adams-Bashfort Method
(This article belongs to Vol - 01, Issue - 03)
In this paper, the construction of Exponentially-Fitted (EF) versions of the third-order Adam-Bashfort method for oscillatory problems is presented. The convergence and stability properties of the constructed methods are investigated. Numerical experiments confirming the theoretical expectations regarding the constructed methods compared with other standard classical methods are also presented.