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Approximate Scheme for Fractional Differential Equation of Order 1 < α < 2 Using Finite Difference Method |
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PP: 421-425 |
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doi:10.18576/pfda/090307
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Author(s) |
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Dhrumit K. Trivedi,
Nimisha Pathak,
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Abstract |
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| In this article, we develop composite Simpson’s ( 1 /3) rd rule for fractional differential equation with Caputo derivative of order α, 1<α < 2 using finite difference method. We use forward, central and backward difference formulae for approximating the derivatives. We give comparison of numerical solution given by Simpson’s ( 1 )rd rule and Trapezoidal rule. Result shows that Simpson’s
rule gives better approximation. Furthermore, as an application of the scheme we solve test problems using Mathematical software. |
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