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《Journal of Shantou University(Natural Science Edition)》 1988-01
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Extrapolation of Difference Solutions to the Ordinary Differential Equations of Singularities

Xu Junying (Department of Mathematics)  
In this paper,the expansion equations of the difference solutions to the differential equations in the form of t[0,1] 0β1,F(t)∈[0,1],F(0)≠0 with singular solutions are derived from the Crank-Nicholson scheme,with expansions of the difference solutions by means of Richardson's extrapolation,thus keeping the errors between the approximative valus (t)resulting from extrapolation and the true value U(t) to 0(τ~(2+β)) at the points of \{0}.
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