New Solutions to Nonlinear Ordinary Differential Equations
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.
Cite this paper:
nullM. 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.
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.