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Volume 11, Issue 2
Chebyshev Approximation of the Analytical Solution of Dirichlet Problem

F.O. Ekogbulu

J. Comp. Math., 11 (1993), pp. 129-141.

Published online: 1993-11

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  • Abstract

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.  

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@Article{JCM-11-129, author = {F.O. Ekogbulu}, title = {Chebyshev Approximation of the Analytical Solution of Dirichlet Problem}, journal = {Journal of Computational Mathematics}, year = {1993}, volume = {11}, number = {2}, pages = {129--141}, abstract = {

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.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9311.html} }
TY - JOUR T1 - Chebyshev Approximation of the Analytical Solution of Dirichlet Problem AU - F.O. Ekogbulu 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.  

F.O. Ekogbulu. (1993). Chebyshev Approximation of the Analytical Solution of Dirichlet Problem. Journal of Computational Mathematics. 11 (2). 129-141. doi:
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