Research Article

Exponentially Fitted Numerical Method for Singularly Perturbed Differential-Difference Equations

Table 2

The maximum absolute errors of Example 1 for different values of with


Present method
4.5775e ‒ 062.8651e ‒ 071.7913e ‒ 081.1197e ‒ 096.9995e ‒ 11
1.6246e ‒ 051.0190e ‒ 066.3830e ‒ 083.9901e ‒ 092.4940e ‒ 10
5.9281e ‒ 053.7757e ‒ 062.3632e ‒ 071.4791e ‒ 089.2453e ‒ 10
2.2949e ‒ 041.4731e ‒ 059.2549e ‒ 075.7989e ‒ 083.6250e ‒ 09
9.1215e ‒ 045.8144e ‒ 053.6824e ‒ 062.3104e ‒ 071.4448e ‒ 08
3.5308e ‒ 032.2815e ‒ 041.4669e ‒ 059.2088e ‒ 075.7724e ‒ 08
1.1709e ‒ 029.1043e ‒ 045.8034e ‒ 053.6736e ‒ 062.3055e ‒ 07

Method in [17]
1.8632e ‒ 029.6189e ‒ 034.8865e ‒ 032.4643e ‒ 031.2376e ‒ 03
2.8161e ‒ 021.4818e ‒ 027.6255e ‒ 033.8713e ‒ 031.9509e ‒ 03
3.7958e ‒ 022.0967e ‒ 021.0977e ‒ 025.6273e ‒ 032.8498e ‒ 03
5.0640e ‒ 022.8316e ‒ 021.5267e ‒ 027.9105e ‒ 034.0287e ‒ 03
6.3580e ‒ 023.7706e ‒ 022.0984e ‒ 021.1012e ‒ 025.6555e ‒ 03
8.3843e ‒ 025.0477e ‒ 022.8297e ‒ 021.5261e ‒ 027.9111e ‒ 03
9.9137e ‒ 026.3529e ‒ 023.7660e ‒ 022.0974e ‒ 021.1011e ‒ 02