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Compact Difference Schemes Combined with Runge-Kutta Methods for Solving Unsteady Convection-Diffusion
Universal Journal of Physics Research
| Vol 1, Issue 1
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 |