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NUMERICAL SOLUTIONS OF SOME KINDS OF FRACTIONAL DIFFERENTIAL EQUATIONS | ||
| Journal of Al-Nahrain University - Science | ||
| Article 1, Volume 12, Issue 4, 2009, Pages 163-167 | ||
| Authors | ||
| L. N. M. Tawfiq; I. I. Gorial | ||
| Abstract | ||
| In this paper we present and discuss an algorithm for the numerical solution of some kinds of fractional differential equations, i.e. of order n+v, n ≤ 3, 2nd order 2v and nv, n ≥ 3. The algorithm for the numerical solution of these equations is based on a Newton approach. The stability and convergence of the fractional order numerical method are described. Finally, some numerical examples are provided to show that the numerical method for solving the fractional differential equation is an effective solution method. | ||
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