Abstract
In this paper we construct a completely exponentially fitted finite difference scheme for the boundary value problem of differential equation with turning points, extending Miller's method[1] and simplifying the method of the proof. We prove the first order uniform convergence of the scheme. The numerical results show that it is better than that scheme.
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Communicated by Su Yu-cheng
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Ming-lun, C., Guo-ying, W. Completely exponentially finite difference methods for problems of turning point. Appl Math Mech 11, 69–78 (1990). https://doi.org/10.1007/BF02014573
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DOI: https://doi.org/10.1007/BF02014573