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Table 2 Comparison of maximum absolute errors for Example 1 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 6.8161e−06 1.7253e−06 6.3777e−06 5.5050e−05 6.1658e−05
 2−11 6.8161e−06 1.7125e−06 4.3561e−07 1.1065e−07 1.6001e−06
 2−12 6.8161e−06 1.7125e−06 4.2918e−07 1.0743e−07 2.6874e−08
 2−13 6.8161e−06 1.7125e−06 4.2918e−07 1.0743e−07 2.6874e−08
 2−14 6.8161e−06 1.7125e−06 4.2918e−07 1.0743e−07 2.6874e−08
 2−15 6.8161e−06 1.7125e−06 4.2918e−07 1.0743e−07 2.6874e−08
 2−16 6.8161e−06 1.7125e−06 4.2918e−07 1.0743e−07 2.6874e−08
 2−17 6.8161e−06 1.7125e−06 4.2918e−07 1.0743e−07 2.6874e−08
 2−18 6.8161e−06 1.7125e−06 4.2918e−07 1.0743e−07 2.6874e−08
 2−19 6.8161e−06 1.7125e−06 4.2918e−07 1.0743e−07 2.6874e−08
 2−20 6.8161e−06 1.7125e−06 4.2918e−07 1.0743e−07 2.6874e−08
EN 6.8161e−06 1.7125e−06 4.2918e−07 1.0743e−07 2.6874e−08
RN 1.9821 1.9964 1.9982 1.9991  
Result in [16]
 2−10 5.0010e−03 2.3755e−03 1.1275e−03 5.3851e−04 2.6147e−04
 2−11 5.3378e−03 2.5881e−03 1.2538e−03 6.0996e−04 2.9986e−04
 2−12 5.5738e−03 2.7367e−03 1.3418e−03 6.5956e−04 3.2641e−04
 2−13 5.7397e−03 2.8409e−03 1.4034e−03 6.9419e−04 3.4487e−04
 2−14 5.8565e−03 2.9141e−03 1.4466e−03 7.1844e−04 3.5778e−04
 2−15 5.9389e−03 2.9657e−03 1.4770e−03 7.3548e−04 3.6683e−04
 2−16 5.9970e−03 3.0021e−03 1.4985e−03 7.4747e−04 3.7319e−04
 2−17 6.0380e−03 3.0278e−03 1.5136e−03 7.5592e−04 3.7767e−04
 2−18 6.0670e−03 3.0459e−03 1.5242e−03 7.6189e−04 3.8083e−04
 2−19 6.0875e−03 3.0587e−03 1.5318e−03 7.6610e−04 3.8306e−04
 2−20 6.1020e−03 3.0678e−03 1.5371e−03 7.6907e−04 3.8464e−04
EN 6.1020e−03 3.0678e−03 1.5371e−03 7.6907e−04 3.8464e−04
RN 0.99207 0.99697 0.99904 0.99960