A comparison of Adomian decomposition method and RK4 algorithm on Volterra integro differential equations of 2nd kind

Authors

  • Kekana M.C Tshwane university of TechnologyPrivate Bag X680Pretoria001South Africa
  • Shatalov M.Y
  • Moshokoa S.P

DOI:

https://doi.org/10.14419/ijamr.v4i4.4965

Published:

2015-09-21

Keywords:

Volterra Integro differential equations, Adomian decomposition method, Adomian polynomial, Runge-Kutta4, Absolute error.

Abstract

In this paper, Volterra Integro differential equations are solved using the Adomian decomposition method. The solutions are obtained in form of infinite series and compared to Runge-Kutta4 algorithm. The technique is described and illustrated with examples; numerical results are also presented graphically. The software used in this study is mathematica10.

References

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