IJPAM: Volume 7, No. 2 (2003)

ON THE MAXIMUM ERROR IN THE SOLUTION
OF LAPLACE EQUATION BY FINITE
DIFFERENCE METHOD

A.A. Dosiyev
Department of Mathematics
Eastern Mediterranean University
Gazimagosa, Cyprus, Mersin 10, TURKEY
e-mail: adiguzel.dosiyev@emu.edu.tr


Abstract.$O(h^{6})$ estimation for the absolute error in maximum norm in solving the mixed boundary value problem for Laplace equation by finite difference method is obtained. This estimate, being obtained for the requirements on the functions given in the boundary conditions which cannot be essentially lowered in $C_{k,\lambda }.$

Received: April 25, 2003

AMS Subject Classification: 65N06, 65N15

Key Words and Phrases: finite difference method, uniform error

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2003
Volume: 7
Issue: 2