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The World of Mathematical Equations 


Methods > Ordinary Differential Equations
Methods for Solving Ordinary Differential Equations
Exact and Analytical Methods
 Estevez, P. G., Kuru, S., Negro, J., and Nieto, L. M.,
Factorization of a class of almost linear
second order differential equations, J. Phys. A: Math. Theor.,
Vol. 40, pp. 9819–9824, 2007.
 Chow, C.C.,
Multiple scale analysis, From
Scholarpedia, 2007.
 Sanders, J.A.,
Averaging, From
Scholarpedia, 2006.
 Khorasani, S. and Adibi, A.,
Analytical solution of linear ordinary
differential equations by differential transfer matrix method,
Electronic J. Differential Equations, No 79, pp. 118, 2003.
 Kudryashov, N.A.,
Simplest equation method to look for
exact solutions of nonlinear differential equations,
Chaos, Solitons and Fractals, Vol. 24, pp. 12171231, 2005.
 Zaitsev, V.F.,
On new directions of group analysis of
ordinary differential equations, In:
Problems of Nonlinear Analysis in Engineering Systems, Kazan, Vol. 8,
No. 1 (15), pp. 1223, 2002.

Encyclopedia of dynamical systems, From Scholarpedia
Numerical Methods
 Butcher, J.,
RungeKutta methods, From
Scholarpedia, 2007.
 Jackiewicz, Z.,
General linear methods, From
Scholarpedia, 2007.
 Auzinger, W., Karner, E., Koch, O., and Weinmuller, E.,
Collocation methods for the solution of eigenvalue problems for
singular ordinary differential equations, 2006.
 Butcher, J.C., Jackiewicz, Z., and Wright, W.M.,
Error propagation of general linear methods for ordinary differential equations, 2006.
 Niesen, J.,
On the global error of discretization methods for ordinary differential equations,
2004.



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