On solving the initial-value problems using the differential transformation method
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In this paper, initial-value problems are solved by the differential transformation method. The differential transformation method of fixed grid size is used to approximate solutions of linear and nonlinear initial-value problems. An adaptive grid size mechanism based on the fixed grid size technique is also proposed. The proposed adaptive grid size procedure provides concise adjustment policy and raises computational efficiency of using differential transformation method.
[1] Y. C. Liu,et al. Solution of Two-Point Boundary-Value Problems Using the Differential Transformation Method , 1998 .
[2] Desmond J. Higham,et al. Global error versus tolerance for explicit Runge-Kutta methods , 1991 .
[3] L. Shampine. Local error control in codes for ordinary differential equations , 1977 .
[4] Ming-Jyi Jang,et al. Analysis of the response of a strongly nonlinear damped system using a differential transformation technique , 1997 .