Compact Difference Schemes Combined with Runge-Kutta Methods for Solving Unsteady Convection-Diffusion

Table 2.

The absolute error forvarious values of t, where his 0.01 and Δt is 0.5h2.

t x = 0.1 x = 0.3 x = 0.5 x = 0.7 x = 0.9

  P.M CN.M P.M CN.M P.M CN.M P.M CN.M P.M CN.M

0.2 1.551E-009 9.770E-006 6.236E-009 2.674E-005 1.655E-008 3.456E-005 3.943E-008 2.921E-005 8.450E-008 1.162E-005
0.4 6.331E-009 7.250E-006 2.185E-008 1.984E-005 4.491E-008 2.563E-005 7.997E-008 2.167E-005 1.306E-007 8.636E-006
0.6 1.052E-008 4.034E-006 3.432E-008 1.104E-005 6.418E-008 1.426E-005 1.025E-007 1.205E-005 1.507E-007 4.807E-006
0.8 1.299E-008 1.995E-006 4.146E-008 5.460E-006 7.459E-008 7.054E-006 1.136E-007 5.963E-006 1.593E-007 2.378E-006
1 1.425E-008 9.253E-007 4.504E-008 2.531E-006 7.965E-008 3.270E-006 1.18E-007 2.765E-006 1.629E-007 1.102E-006