Modified Adomian Techniques Applied to Non-Linear Volterra Integral Equations

Haifa H. Ali, Fawzi Abdelwahid

Department of Mathematics, Faculty of Science, University of Benghazi, Benghazi, Libya.

DOI: 10.4236/ojapps.2013.32027                

Abstract

In this work, we studied the performance of modified techniques of Adomian method applied to non-linear Volterra integral equations of the second kind. This study shows that the modified techniques are reliable, efficient and easy to use through recursive relations that involve simple integrals. Furthermore, we found that the right choice and the proper implementation of the modified techniques reduce the computational difficulties and increase the speed of convergent, comparing with the standard Adomian method.

Keywords

Adomian Decomposition Method; Volterra Integral Equations

Conflicts of Interest

The authors declare no conflicts of interest.

References

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