A METHOD OF HIGHER ORDER ACCURAY FOR GENERAL NONLINEAR BOUNDARY VALUE PROBLEMS
1992, 12 (05):
We present a sixth-order finite difference method for the gener-
al second-order nonlinear differential equation y″=f(x,y,y′)subject to the
boundary conditions y(a)=A,y(b)=B.We establish,under appropriate con-
ditions,0(h~6)-convergence of the finite difference scheme.Numerical exam-
ples are given to illustrate the method and its sixth-order convergence.
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