The solution of the BagleyTorvik equation with the generalized Taylor collocation method
In this paper, the BagleyTorvik equation, which has an important role in fractional calculus, is solved by generalizing the Taylor collocation method. The proposed method has a new algorithm for solving fractional differential equations. This new method has many advantages over variety of numerical approximations for solving fractional differential equations. To assess the effectiveness and preciseness of the method, results are compared with other numerical approaches. Since the BagleyTorvik equation represents a general form of the fractional problems, its solution can give many ideas about the solution of similar problems in fractional differential equations.
bagleytorvik equation generalized taylor collocation method adomian decomposition method differential transform method