TY - JOUR T1 - Chebyshev Approximation of the Analytical Solution of Dirichlet Problem JO - Journal of Computational Mathematics VL - 2 SP - 129 EP - 141 PY - 1993 DA - 1993/11 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9311.html KW - AB -

In this paper linear programming method for minimax approximation is used to obtain an approximation to the analytical solution of a Dirichlet problem using the logarithmic potential function as an approximating function. This approach has the advantage of producing a better approximation than that using other solution of the potential equation as an approximating or basis function for a problem in $n=2$ dimensions.