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Numerical Solution of Some Fractional Partial Differential Equations using Collocation Finite Element Method |
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PP: 157-164 |
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Author(s) |
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Yusuf Ucar,
Nuri Murat Yagmurlu,
Orkun Tasbozan,
Alaattin Esen,
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Abstract |
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| In this work, our aim is to obtain a numerical solution to some fractional differential equations. In the solution process,
we have used fractional derivatives in Caputo sense. The fundamental characteristics of the present method is the fact that it converts
complex problems into those requiring the solution of algebraic ones, which is obviously more easy for computational processing. The
obtained approximate values show the accuracy and suitability of the present scheme for applying a wide range of fractional partial
differential equations. Finally, the error norms L2 and LĄ are computed and found to be sufficiently small. |
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