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Table 1 Sets of optimal coefficients for scheme 1 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

\(-\)0.10858

0.0911

0.76

\(-\)0.00714

0.10943

0.51

\(-\)0.10124

0.09094

0.77

\(-\)0.00515

0.10989

0.52

\(-\)0.09433

0.09081

0.78

\(-\)0.00315

0.11006

0.53

\(-\)0.0878

0.09068

0.79

\(-\)0.00115

0.10997

0.54

\(-\)0.08165

0.09059

0.80

0.00083

0.10965

0.55

\(-\)0.07583

0.09052

0.81

0.00284

0.10909

0.56

\(-\)0.07032

0.09045

0.82

0.00483

0.10834

0.57

\(-\)0.06511

0.09043

0.83

0.00682

0.10741

0.58

\(-\)0.06018

0.09043

0.84

0.00881

0.10631

0.59

\(-\)0.0555

0.09045

0.85

0.01079

0.10506

0.60

\(-\)0.05106

0.0905

0.86

0.01277

0.10367

0.61

\(-\)0.04686

0.0906

0.87

0.01475

0.10215

0.62

\(-\)0.04287

0.09074

0.88

0.01674

0.1005

0.63

\(-\)0.03908

0.09093

0.89

0.01873

0.09874

0.64

\(-\)0.0355

0.09119

0.90

0.02074

0.09686

0.65

\(-\)0.0321

0.09152

0.91

0.02277

0.09486

0.66

\(-\)0.02889

0.09196

0.92

0.02484

0.09274

0.67

\(-\)0.02588

0.09258

0.93

0.02696

0.0905

0.68

\(-\)0.02307

0.09345

0.94

0.02919

0.08807

0.69

\(-\)0.02057

0.09513

0.95

0.03162

0.08541

0.70

\(-\)0.01873

0.09864

0.96

0.03394

0.08277

0.71

\(-\)0.0168

0.10159

0.97

0.03609

0.08023

0.72

\(-\)0.0149

0.10402

0.98

0.0381

0.0778

0.73

\(-\)0.01304

0.10598

0.99

0.03996

0.07547

0.74

\(-\)0.01108

0.1075

1.00

0.04169

0.07322

0.75

\(-\)0.00911

0.10864

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