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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