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New Solutions to Nonlinear Ordinary Differential Equations

DOI: 10.4236/apm.2011.11002, PP. 3-4

Keywords: Ordinary Differential Equations ODE, Euler's Method

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Abstract:

In contrast to the Euler method and the subsequent methods, we provide solutions to nonlinear ordinary differential equations. Consequently, our method does not require convergence. We apply our method to a second-order nonlinear ordinary differential equation ODE. However, the method is applicable to higher order ODEs.

References

[1]  J. C. Butcher, “Numerical Methods for Ordinary Differential Equations,” Wiley, W. Sussex, England, 2008. doi:10.1002/9780470753767
[2]  F. Cellier and E. Kofman, “Continuous System Simulation,” Springer Verlag, New York, 2006.
[3]  A. Kaw and E. Kalu, “Numeri-cal Methods with Applications,” 2009. www.autarkaw.com.

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