In this paper the generalized differential transform method is applied to obtain an approximate solution of linear and nonlinear differential equation of fractional order with boundary conditions. Several numerical examples are considered and comparisons with the existing solution techniques are reported. Results show that the method is effective, easier to implement and very accurate when applied for the solution of fractional boundary values problems.
Di Matteo, A., Pirrotta, A. (2015). Generalized Differential Transform Method for Nonlinear Boundary Value Problem of Fractional Order. COMMUNICATIONS IN NONLINEAR SCIENCE & NUMERICAL SIMULATION, 29, 88-101 [10.1016/j.cnsns.2015.04.017].
Generalized Differential Transform Method for Nonlinear Boundary Value Problem of Fractional Order
DI MATTEO, Alberto;PIRROTTA, Antonina
2015-01-01
Abstract
In this paper the generalized differential transform method is applied to obtain an approximate solution of linear and nonlinear differential equation of fractional order with boundary conditions. Several numerical examples are considered and comparisons with the existing solution techniques are reported. Results show that the method is effective, easier to implement and very accurate when applied for the solution of fractional boundary values problems.
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