Abstract
In this paper we consider the Dirichlet problem for elliptic differential equations. A special difference scheme is constructed from the necessary condition of uniform convergence. We also prove the uniform convergence and the asymptotic behavior of the solution of the difference problem, and give the error estimate.
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Bi-yue, L. Uniformly convergent difference schemes for first boundary value problem for elliptic differential equations with a small parameter at the highest detivative. Appl Math Mech 7, 715–726 (1986). https://doi.org/10.1007/BF01895983
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DOI: https://doi.org/10.1007/BF01895983