Numerical Solution of a Class of Nonlinear Emden-Fowler Equations by Using Differential Transform Method

Abstract

Keywords

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Numerical Solution of a Class of Nonlinear Emden-Fowler Equations by Using Differential Transform Method

Abstract

In this paper, approximate and/or analytical solutions of the Emden-Fowler type equations in the secondorder ordinary differential equations are obtained by applying differential transformation method (DTM). In this work, two examples are given and DTM yields solutions in convergent series forms with easily computable terms by using a reliable algorithm and in most cases iterations leads to the high accuracy of the solutions. Comparisons with the analytical solutions and the solutions found by the DTM show the efficiency in solving equations with singularity. In fact, the numerical results reveal that DTM is very efficient, reliable and accurate

Keywords

• Nonlinear differential equations, Singular initial value problems, Differential transform method, Emden-Fowler equations, Numerical solution

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