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

Table 3.

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

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 3.677E-010 7.143E-006 1.143E-009 1.970E-005 2.687E-009 2.565E-005 9.496E-009 2.183E-005 3.559E-008 8.703E-006
0.4 9.510E-010 9.617E-006 3.896E-009 2.650E-005 1.115E-008 3.447E-005 2.988E-008 2.933E-005 7.205E-008 1.173E-005
0.6 2.363E-009 9.702E-006 9.198E-009 2.672E-005 2.285E-008 3.475E-005 5.017E-008 2.956E-005 9.962E-008 1.184E-005
0.8 4.306E-009 8.698E-006 1.565E-008 2.395E-005 3.480E-008 3.114E-005 6.758E-008 2.649E-005 1.197E-007 1.062E-005
1 6.350E-009 7.309E-006 2.205E-008 2.012E-005 4.558E-008 2.616E-005 8.167E-008 2.225E-005 1.342E-007  8.925E-006