Numerical approaches to system of fractional partial differential equations
http://dx.doi.org/10.1016/j.joems.2016.12.004
Abstract
In this paper, by introducing the fractional derivative in sense of Caputo, the Laplace- variational iteration method (LVIM) and the Laplace-Adomian decomposition method (LADM) are directly extended to study the linear and nonlinear systems of fractional partial differential equations, as a result the approximated numerical solutions are acquired in the form of rapidly convergent series with easily computable components. Numerical results show that the two approaches are easy to implement and accurate when are applied. Compassions are made between the two methods and exact solutions. Figures are used to show the efficiency as well as the accuracy of the achieved approximated results.
(2024). Numerical approaches to system of fractional partial differential equations. Journal of the Egyptian Mathematical Society, 25(2), 141-150. doi: http://dx.doi.org/10.1016/j.joems.2016.12.004
MLA
. "Numerical approaches to system of fractional partial differential equations". Journal of the Egyptian Mathematical Society, 25, 2, 2024, 141-150. doi: http://dx.doi.org/10.1016/j.joems.2016.12.004
HARVARD
(2024). 'Numerical approaches to system of fractional partial differential equations', Journal of the Egyptian Mathematical Society, 25(2), pp. 141-150. doi: http://dx.doi.org/10.1016/j.joems.2016.12.004
VANCOUVER
Numerical approaches to system of fractional partial differential equations. Journal of the Egyptian Mathematical Society, 2024; 25(2): 141-150. doi: http://dx.doi.org/10.1016/j.joems.2016.12.004
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