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

 
 
 
  • Abstract
  • Keywords
  • References
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  • 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.

  • Keywords


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

  • 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 equations”, Appl.Math.Comput, No.136, (2003), pp. 151-159.

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


 

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Article ID: 4965
 
DOI: 10.14419/ijamr.v4i4.4965




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