A class of variational difference schemes for a singular perturbation problem |
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Authors: | Lin Ping |
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Institution: | Nanjing University, Nanjing |
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Abstract: | In this paper, a singularly perturbed boundary value problem for second order self-adjoint ordinary differential equation is discussed. A class of variational difference schemes is constructed by the finite element method. Uniform convergence about small parameter is proved under a weaker smooth condition with respect to the coefficients of the equation. The schemes studied in refs. 1], 3], 4] and 5] belong to the class. |
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