Approximate Analiytical Solutions of Lane-Emden Type Equation by Differential Transformation Method
نویسندگان
چکیده
In this article Differential Transformation Method (DTMs) is considered to find exact and approximate solutions of singular Initial Value Problems (IVPs) of the Lane-Emden type in second-order Ordinary Differential Equations (ODEs). The method can simply be applied to many linear and nonlinear problems and is capable of reducing the size of computational work while still providing the series solution with fast convergence rate. Exact solutions can also be obtained from the known forms of the series solutions. The results show that the method is effective, suitable, easy, practical and accurate. Mathematics subject classifications (2000): 65L05 • 34A34
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