New Solutions to Nonlinear Ordinary Differential Equations

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DOI: 10.4236/apm.2011.11002   PDF   HTML     6,466 Downloads   19,780 Views  

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.

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M. Alghalith, "New Solutions to Nonlinear Ordinary Differential Equations," Advances in Pure Mathematics, Vol. 1 No. 1, 2011, pp. 3-4. doi: 10.4236/apm.2011.11002.

Conflicts of Interest

The authors declare no conflicts of interest.

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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