April 2019
Intermediate to advanced
256 pages
5h 48m
English
book
Advanced Numerical and Semi-Analytical Methods for Differential Equations
by Snehashish Chakraverty, Nisha Mahato, Perumandla Karunakar, Tharasi Dilleswar Rao
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Index
- a
- Adams‐Bashforth method 10
- Adams‐Moulton method 10, 11, 16
- Addition and Subtraction of Intervals 202, 206
- Adjoint operator 92
- Adomian decomposition method (ADM) 103, 119, 124, 126–128, 157, 177
- Adomian polynomials 120–127, 182, 183, 185
- Advection equation 134, 136, 154, 161, 179, 181
- Akbari‐Ganji's method (AGM) 103, 104, 106, 107, 109, 111, 157
- α‐Cut of TFN 209
- b
- Backward Difference Scheme 54, 55
- Boundary characteristic orthogonal polynomials (BCOPs) 31, 40, 45–51
- Boundary Element Method (BEM) 91–97
- Boundary integral equation (BIE) 93, 96–99
- Boundary point 96–99
- Boundary value problem (BVP) 2, 31, 33, 36, 37, 40, 45–48, 49, 60, 69, 75, 91, 93, 119
- Burger's equation 115, 136, 181, 182
- c
- Cahn–Allen equation 115
- Canonical form 124
- Cell faces 88
- Central Difference Scheme 54, 55, 57, 88
- Chebyshev polynomials 157
- Collocation method 33, 41
- Conservation laws 82
- Conservation property 81
- Control volume domain 82
- Convection–diffusion 82, 83, 84, 87
- Convergence 53, 119, 121, 132, 149
- Convolution 26, 27
- Correction functional 141–143, 145
- Crisp 203–212, 217, 221–223, 226
- d
- Daubechies wavelet 167
- Deformation 132, 150, 151, 154, 155
- Differential Form 199
- Differential Quadrature 157
- Diffusion equation 57, 71, 74, 84, 86, 100
- Dirac Delta Function 33, 93, 94, 97
- Dirichlet boundary conditions 97, 99, 192
- Discrete grid points 53, 54
- Discretization Techniques 81, 82
- Duffing equation 105, 107, 108
- Dynamic analysis 76, 78, 218, 223, ...
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