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Table 2 Sets of optimal coefficients for scheme 2 in two dimensions

From: A novel high accuracy finite-difference time-domain method

C

\(\alpha _{1}\)

\(\alpha _{2}\)

C

\(\alpha _{1}\)

\(\alpha _{2}\)

0.50

\(-\)0.07781

0.0657

0.76

\(-\)0.00245

0.07065

0.51

\(-\)0.07245

0.06546

0.77

\(-\)0.00106

0.07089

0.52

\(-\)0.0674

0.06523

0.78

0.00035

0.07093

0.53

\(-\)0.06264

0.06502

0.79

0.00174

0.07081

0.54

\(-\)0.05814

0.06482

0.80

0.0031

0.07056

0.55

\(-\)0.05388

0.06462

0.81

0.00446

0.07016

0.56

\(-\)0.04986

0.06445

0.82

0.0058

0.06965

0.57

\(-\)0.04605

0.06428

0.83

0.00712

0.06903

0.58

\(-\)0.04244

0.06413

0.84

0.00844

0.06831

0.59

\(-\)0.03901

0.06399

0.85

0.00974

0.0675

0.60

\(-\)0.03576

0.06387

0.86

0.01101

0.06662

0.61

\(-\)0.03267

0.06375

0.87

0.01228

0.06566

0.62

\(-\)0.02974

0.06367

0.88

0.01352

0.06464

0.63

\(-\)0.02695

0.06359

0.89

0.01475

0.06356

0.64

\(-\)0.0243

0.06354

0.90

0.01596

0.06244

0.65

\(-\)0.02178

0.06352

0.91

0.01715

0.06127

0.66

\(-\)0.01939

0.06354

0.92

0.0183

0.06009

0.67

\(-\)0.01712

0.0636

0.93

0.01938

0.05893

0.68

\(-\)0.01496

0.06371

0.94

0.0221

0.05619

0.69

\(-\)0.01294

0.06395

0.95

0.02422

0.05416

0.70

\(-\)0.01106

0.06442

0.96

0.02628

0.05216

0.71

\(-\)0.00958

0.06607

0.97

0.02767

0.05088

0.72

\(-\)0.00816

0.06753

0.98

0.02925

0.04933

0.73

\(-\)0.00673

0.06869

0.99

0.03055

0.04806

0.74

\(-\)0.0053

0.06958

1.00

0.0319

0.04667

0.75

\(-\)0.00387

0.07022

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