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

Table 1.

The absolute error forvarious values of t, where his 0.005 and Δt is 0.001.

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 6.579E-010 1.897E-005 1.623E-009 3.636E-005 2.108E-009 1.409E-005 2.725E-009 2.066E-004 5.991E-008 1.645E-003
0.4 1.134E-009 3.239E-005 3.028E-009 6.781E-005 3.932E-009 2.630E-005 5.146E-009 3.854E-004 2.455E-007 1.645E-003
0.6 1.474E-009 4.170E-005 4.232E-009 9.472E-005 5.501E-009 3.679E-005 8.038E-009 5.380E-004 5.145E-007 2.105E-003
0.8 1.720E-009 4.820E-005 5.248E-009 1.173E-004 6.838E-009 4.576E-005 1.294E-008 6.654E-004 8.263E-007 2.418E-003
1 1.896E-009 5.268E-005 6.088E-009 1.357E-004 7.951E-009 5.335E-005 2.11E-008 7.685E-004 1.158E-006 2.628E-003