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
    2015-09-21
    https://doi.org/10.14419/ijamr.v4i4.4965
  • 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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  • 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: 2015-07-01

    Accepted date: 2015-09-14

    Published date: 2015-09-21