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Ford, Neville J.; Connolly, Joseph A.
Systems-based decomposition schemes for the approximate solution of multi-term fractional differential equations. (English) Zbl 1166.65066
J. Comput. Appl. Math. 229, No. 2, 382-391 (2009).
Summary: We give a comparison of the efficiency of three alternative decomposition schemes for the approximate solution of multi-term fractional differential equations using the Caputo form of the fractional derivative. The schemes we compare are based on conversion of the original problem into a system of equations. We review alternative approaches and consider how the most appropriate numerical scheme may be chosen to solve a particular equation.

Cited in 24 Documents
MSC:
65R20 Numerical methods for integral equations
45J05 Integro-ordinary differential equations
45G10 Other nonlinear integral equations
26A33 Fractional derivatives and integrals
65L05 Numerical methods for initial value problems
Keywords:
fractional differential equations; numerical examples; multi-term equations; Caputo fractional derivative
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\textit{N. J. Ford} and \textit{J. A. Connolly}, J. Comput. Appl. Math. 229, No. 2, 382--391 (2009; Zbl 1166.65066)
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References:
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