Numerical Solutions of a Class of Nonlinear Ordinary Differential Equations by the Differential Transform and Adoman Methods
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- Differential Transform Method, Nonlinear differential equations of second order, Analytic solutions Adomian Decomposition Method
- Paul Tchoua
- Benedict I. Ita
- In this paper Differential Transform Method (DTM) and Adomian Decomposition Method are used to solve a class of nonlinear differential equations of second order. This method can be applied to many types of liner and nonlinear ordinary differential equations to solve approximately and in some cases give the exact analytical solutions. It reduces the size of computational work while still providing the solutions in terms of series with the convergence rate. Some examples are also given to buttress our points.
Full text: IJISM_601_FINAL.pdf