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Solution Of Higher-Order Abel Equations By Differential Transform Method

Author

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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)

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.

Suggested Citation

  • Supriya Mukherjee & Debkalpa Goswami & Banamali Roy, 2012. "Solution Of Higher-Order Abel Equations By Differential Transform Method," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 23(09), pages 1-11.
    • Handle: RePEc:wsi:ijmpcx:v:23:y:2012:i:09:n:s0129183112500568
    DOI: 10.1142/S0129183112500568
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