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SOLUTION OF HIGHER-ORDER ABEL EQUATIONS BY DIFFERENTIAL TRANSFORM METHOD

Department of Mathematics, Swami Vivekananda Institute of Science and Technology, South Gobindapur, P. S. Sonarpur, Kolkata 700 145, West Bengal, India

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DEBKALPA GOSWAMI

Department of Production Engineering, Jadavpur University, Raja S. C. Mallick Road, Kolkata 700 032, West Bengal, India

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BANAMALI ROY

Department of Mathematics, Bangabasi Evening College, 19 Rajkumar Chakraborty Sarani, Kolkata 700 009, West Bengal, India

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https://doi.org/10.1142/S0129183112500568Cited by:2 (Source: Crossref)

Abstract

In this paper, the second-, third- and fourth-order Abel equations are solved. The differential transform method (DTM) is used to compute approximate solutions of the nonlinear ordinary Abel differential equations. The results are compared with the results obtained by the classical Runge–Kutta (RK4) method. Figures are presented to show the reliability and simplicity of the method.

Keywords:

PACS: 02.30.Hq, 02.30.Lt, 02.30.Uu, 02.30.Lj

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