Exploring the Differential Transform Method for Systems of Ordinary Differential Equations
Keywords:
Differential transforms method, Linear Systems, Nonlinear Systems, and Analytical MethodsAbstract
In this study, the differential transform method (DTM) is used to solve linear and nonlinear systems of ordinary differential equations. If the system under consideration has a solution based on the series expansion of known functions, this powerful method will find the exact solution. To demonstrate this capability and robustness, several systems of ordinary differential equations are solved numerically, confirming the method’s accuracy and computational efficiency.
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