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

Received date: July 1, 2015

Accepted date: September 14, 2015

Published date: September 21, 2015

DOI:

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

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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    [6] S.L El_Sayed, M.R. Abdel-Aziz, “A comparison of Adomian’s decomposition method and wavelet-Galerkin method for integro differential equationsâ€, Appl.Math.Comput, No.136, (2003), pp. 151-159.

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    [8] A.M Wazwaz, “A new algorithm for calculating non-linear operatorâ€, Appl.Math.Comput, No.111, (2001), 32-51.

    [9] Z.M. Odibat, “Differential transform method for solving Volterra integral equation with separate kernelâ€, Math.Comput. Modelling, No. 48, (2008), pp. 1144-1149.

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How to Cite

M.C, K., M.Y, S., & S.P, M. (2015). A comparison of Adomian decomposition method and RK4 algorithm on Volterra integro differential equations of 2nd kind. International Journal of Applied Mathematical Research, 4(4), 481-487. https://doi.org/10.14419/ijamr.v4i4.4965

Received date: July 1, 2015

Accepted date: September 14, 2015

Published date: September 21, 2015