SOLUTION OF HIGHER-ORDER ABEL EQUATIONS BY DIFFERENTIAL TRANSFORM METHOD

Supriya Mukherjee (), Debkalpa Goswami () and Banamali Roy ()
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Supriya Mukherjee: Department of Mathematics, Swami Vivekananda Institute of Science and Technology, South Gobindapur, P. S. Sonarpur, Kolkata 700 145, West Bengal, India
Debkalpa Goswami: Department of Production Engineering, Jadavpur University, Raja S. C. Mallick Road, Kolkata 700 032, West Bengal, India
Banamali Roy: Department of Mathematics, Bangabasi Evening College, 19 Rajkumar Chakraborty Sarani, Kolkata 700 009, West Bengal, India

International Journal of Modern Physics C (IJMPC), 2012, vol. 23, issue 09, 1-11

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: Higher-order Abel equations; differential transform method; Runge–Kutta (RK4) method; 02.30.Hq; 02.30.Lt; 02.30.Uu; 02.30.Lj (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1142/S0129183112500568

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