A COMBINATION OF THE LAPLACE TRANSFORM AND THE VARIATIONAL ITERATION METHOD FOR THE ANALYTICAL TREATMENT OF DELAY DIFFERENTIAL EQUATIONS

Toheeb A. Biala, Oladapo O. Asim, Yusuf O. Afolabi

Abstract


This paper is concerned with obtaining the exact solutions of linear and nonlinear delay differential equations (DDEs) via a combination of the Laplace transform and variational iteration method. In this approach, a correction functional is constructed by a general Lagrange multiplier, which is determined by using the Laplace transform with the variational theory. Numerical examples are given to elucidate the solution process, the simplicity, efficiency and reliability of the new approach.

Full Text: PDF

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.

IJDEA, Academic Publications, Ltd.