Advanced numerical and semi-analytical methods for differential equations

Cover......Page 1
Advanced Numerical and Semi-AnalyticalMethods for Differential Equations......Page 3
© 2019......Page 4
Contents......Page 5
Acknowledgments......Page 10
Preface......Page 11
1 Preface......Page 15
2 Integral Transforms......Page 32
3 Weighted Residual Methods......Page 43
4 Boundary Characteristics Orthogonal Polynomials......Page 56
5 Finite Difference Method......Page 64
6 Finite ElementMethod......Page 74
7 Finite VolumeMethod......Page 92
8 Boundary Element Method......Page 102
9 Akbari–Ganji’s Method......Page 113
10 Exp-Function Method......Page 121
11 Adomian Decomposition Method......Page 129
12 Homotopy Perturbation Method......Page 141
13 Variational Iteration Method......Page 150
14 Homotopy Analysis Method......Page 157
15 Differential Quadrature Method......Page 165
16 WaveletMethod......Page 174
17 Hybrid Methods......Page 184
18 Preliminaries of Fractal Differential Equations......Page 195
19 Differential Equations with Interval Uncertainty......Page 202
20 Differential Equations with Fuzzy Uncertainty......Page 214
21 Interval Finite ElementMethod......Page 222
Index......Page 235