nine points fourth order laplacian scheme.


        rms error =  .2172350E-07        rms error/rms zta =  .120E+01 percent.

 i  j     analytical sol estimated sol.  i  j     analytical sol estimated sol

 1  4      .30498760E-05  .30498760E-05  2  4     -.41585830E-04 -.40985850E-04
 3  4     -.24536510E-04 -.24165770E-04  4  4      .30636260E-04  .30262060E-04
 5  4      .47685580E-04  .47081320E-04  6  4      .30498700E-05  .30480420E-05
 7  4     -.41585830E-04 -.40988490E-04  8  4     -.24536500E-04 -.24141550E-04
 9  4      .30636270E-04  .30163490E-04 10  4      .47685580E-04  .47685580E-04


                   nine points second order laplacian scheme.


        rms error =  .2346851E-06        rms error/rms zta =  .129E+02 percent.

 i  j     analytical sol estimated sol.  i  j     analytical sol estimated sol

 1  4      .30498760E-05  .30498760E-05  2  4     -.41585830E-04 -.34947030E-04
 3  4     -.24536510E-04 -.20471330E-04  4  4      .30636260E-04  .26373030E-04
 5  4      .47685580E-04  .40848730E-04  6  4      .30498700E-05  .29508450E-05
 7  4     -.41585830E-04 -.34947040E-04  8  4     -.24536500E-04 -.20471320E-04
 9  4      .30636270E-04  .26373040E-04 10  4      .47685580E-04  .47685580E-04


                   five points second order laplacian scheme.


        rms error =  .1656866E-06        rms error/rms zta =  .914E+01 percent.

 i  j     analytical sol estimated sol.  i  j     analytical sol estimated sol

 1  4      .30498760E-05  .30498760E-05  2  4     -.41585830E-04 -.36936440E-04
 3  4     -.24536510E-04 -.21700850E-04  4  4      .30636260E-04  .27602550E-04
 5  4      .47685580E-04  .42838140E-04  6  4      .30498700E-05  .29508450E-05
 7  4     -.41585830E-04 -.36936440E-04  8  4     -.24536500E-04 -.21700840E-04
 9  4      .30636270E-04  .27602560E-04 10  4      .47685580E-04  .47685580E-04