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Table 4 Comparison of maximum absolute errors for Example 2 at number of mesh points 2N

From: Accelerated fitted operator finite difference method for singularly perturbed delay differential equations with non-local boundary condition

ε ↓ N 32 64 128 256 512
Present method
 2−10 3.5556e−05 8.7577e−06 2.2227e−06 4.1781e−06 1.9844e−05
 2−11 3.5556e−05 8.7577e−06 2.1733e−06 5.4134e−07 1.4748e−07
 2−12 3.5556e−05 8.7577e−06 2.1733e−06 5.4134e−07 1.3509e−07
 2−13 3.5556e−05 8.7577e−06 2.1733e−06 5.4134e−07 1.3509e−07
 2−14 3.5556e−05 8.7577e−06 2.1733e−06 5.4134e−07 1.3509e−07
 2−15 3.5556e−05 8.7577e−06 2.1733e−06 5.4134e−07 1.3509e−07
 2−16 3.5556e−05 8.7577e−06 2.2227e−06 5.4134e−07 1.3509e−07
 2−17 3.5556e−05 8.7577e−06 2.1733e−06 5.4134e−07 1.3509e−07
 2−18 3.5556e−05 8.7577e−06 2.1733e−06 5.4134e−07 1.3509e−07
 2−19 3.5556e−05 8.7577e−06 2.1733e−06 5.4134e−07 1.3509e−07
 2−20 3.5556e−05 8.7577e−06 2.1733e−06 5.4134e−07 1.3509e−07
EN 3.5556e−05 8.7577e−06 2.1733e−06 5.4134e−07 1.3509e−07
RN 2.0215 2.0107 2.0053 2.0026  
Result in [16]
 2−10 1.5023e−03 8.2944e−04 4.2515e−04 2.1093e−04 1.0303e−04
 2−11 1.5379e−03 8.6376e−04 4.4918e−04 2.2591e−04 1.1186e−04
 2−12 1.5610e−03 8.8702e−04 4.6570e−04 2.3629e−04 1.1800e−04
 2−13 1.5763e−03 9.0297e−04 4.7715e−04 2.4351e−04 1.2228e−04
 2−14 1.5865e−03 9.1398e−04 4.8511e−04 2.4855e−04 1.2528e−04
 2−15 1.5935e−03 9.2163e−04 4.9067e−04 2.5209e−04 1.2738e−04
 2−16 1.5983e−03 9.2698e−04 4.9458e−04 2.5457e−04 1.2885e−04
 2−17 1.6016e−03 9.3072e−04 4.9732e−04 2.5631e−04 1.2989e−04
 2−18 1.6039e−03 9.3336e−04 4.9925e−04 2.5754e−04 1.3063e−04
 2−19 1.6055e−03 9.3521e−04 5.0061e−04 2.5841e−04 1.3114e−04
 2−20 1.6067e−03 9.3652e−04 5.0157e−04 2.5902e−04 1.3151e−04
EN 1.6067e−03 9.3652e−04 5.0157e−04 2.5902e−04 1.3151e−04
RN 1.0602 1.0317 1.0162 1.0082