New Solutions to Nonlinear Ordinary Differential Equations
Author(s)
Moawia Alghalith
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.
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.
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.
[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.