Algorithms to Solve Singularly Perturbed Volterra Integral Equations

Authors

Marwan T. Alquran, Jordan University of Science and Technology
Bilal Khair, Jordan University of Science and Technology

Abstract

In this paper, we apply the Differential Transform Method (DTM) and Variational Iterative Method (VIM) to develop algorithms for solving singularly perturbed volterra integral equations (SPVIEs). The study outlines the significant features of the two methods. A comparison between the two methods for the solution of SPVIs is given for three examples. The results show that both methods are very efficient, convenient and applicable to a large class of problems.

Recommended Citation

Alquran, Marwan T. and Khair, Bilal (2011). Algorithms to Solve Singularly Perturbed Volterra Integral Equations, Applications and Applied Mathematics: An International Journal (AAM), Vol. 6, Iss. 1, Article 30.
Available at: https://digitalcommons.pvamu.edu/aam/vol6/iss1/30