Solving Large Scale Nonlinear Equations by a New ODE Numerical Integration Method
Tianmin Han, Yuhuan Han
DOI: 10.4236/am.2010.13027   PDF    HTML     8,881 Downloads   17,622 Views   Citations


In this paper a new ODE numerical integration method was successfully applied to solving nonlinear equations. The method is of same simplicity as fixed point iteration, but the efficiency has been significantly improved, so it is especially suitable for large scale systems. For Brown’s equations, an existing article reported that when the dimension of the equation N = 40, the subroutines they used could not give a solution, as compared with our method, we can easily solve this equation even when N = 100. Other two large equations have the dimension of N = 1000, all the existing available methods have great difficulties to handle them, however, our method proposed in this paper can deal with those tough equations without any difficulties. The sigularity and choosing initial values problems were also mentioned in this paper.

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T. Han and Y. Han, "Solving Large Scale Nonlinear Equations by a New ODE Numerical Integration Method," Applied Mathematics, Vol. 1 No. 3, 2010, pp. 222-229. doi: 10.4236/am.2010.13027.

Conflicts of Interest

The authors declare no conflicts of interest.


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