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Solving partial differential equations in Maple 2018.2 and Mathematica 11.3
Nasser M. Abbasi
January 29, 2024
Compiled on January 29, 2024 at 11:13pm
1
Introduction
2
Results
3
Lookup table of results
4
General first order PDE’s
5
Heat PDE in bar (1D)
6
Heat PDE on semi-infinite domain (1D)
7
Heat PDE on infinite domain, 1D
8
Heat PDE in rectangle
9
Heat PDE inside disk
10
Heat PDE inside Sphere
11
Diffusion Reaction in 1D
12
Diffusion-advection (convection) in 1D
13
Laplace PDE in Cartesian coordinates
14
Laplace PDE in Polar coordinates
15
Laplace PDE in Spherical coordinates
16
Poisson PDE in Cartesian coordinates
17
Helmholtz PDE in Cartesian coordinates
18
Reduced Helmholtz PDE in Cartesian coordinates
19
Helmholtz PDE in 3D Spherical
20
Wave PDE on finite length string
21
Wave PDE on semi-infinite domain
22
Wave PDE 1D infinite domain
23
Wave PDE in 2D Cartesian coordinates
24
Wave PDE in 2D Polar coordinates
25
Wave PDE in 3D Spherical coordinates
26
Wave PDE in 3D Cylindrical coordinates
27
Schrodinger PDE
28
Beam PDE
29
Burger’s PDE
30
Black Scholes PDE
31
Korteweg-deVries PDE
32
Tricomi PDE
33
Cauchy Riemann PDE’s
34
Hamilton-Jacobi PDE
35
miscellaneous PDE’s
36
Nonlinear PDE’s
37
HFOPDE, chapter 1
38
HFOPDE, chapter 2.2.1
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HFOPDE, chapter 2.2.2
40
HFOPDE, chapter 2.2.3
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HFOPDE, chapter 2.2.4
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HFOPDE, chapter 2.2.5
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HFOPDE, chapter 2.3.1
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HFOPDE, chapter 2.3.2
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HFOPDE, chapter 2.4.1
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HFOPDE, chapter 2.4.2
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HFOPDE, chapter 2.4.3
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HFOPDE, chapter 2.4.4
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HFOPDE, chapter 2.4.5
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HFOPDE, chapter 2.5.1
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HFOPDE, chapter 2.5.2
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HFOPDE, chapter 2.6.1
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HFOPDE, chapter 2.6.2
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HFOPDE, chapter 2.6.3
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HFOPDE, chapter 2.6.4
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HFOPDE, chapter 2.6.5
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HFOPDE, chapter 2.7.1
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HFOPDE, chapter 2.7.2
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HFOPDE, chapter 2.7.3
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HFOPDE, chapter 2.7.4
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HFOPDE, chapter 2.8.1
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HFOPDE, chapter 2.8.2
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HFOPDE, chapter 2.8.3
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HFOPDE, chapter 2.8.4
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HFOPDE, chapter 2.8.5
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HFOPDE, chapter 2.8.6
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HFOPDE, chapter 2.9.1
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HFOPDE, chapter 2.9.2
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HFOPDE, chapter 2.9.3
70
HFOPDE, chapter 3 examples
71
HFOPDE, chapter 3.2.1
72
HFOPDE, chapter 3.2.2
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HFOPDE, chapter 3.2.3
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HFOPDE, chapter 3.2.4
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HFOPDE, chapter 3.3.1
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HFOPDE, chapter 3.3.2
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HFOPDE, chapter 3.4.1
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HFOPDE, chapter 3.4.2
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HFOPDE, chapter 3.4.3
80
HFOPDE, chapter 3.4.4
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HFOPDE, chapter 3.4.5
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HFOPDE, chapter 3.5.1
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HFOPDE, chapter 3.5.2
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HFOPDE, chapter 3.5.3
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HFOPDE, chapter 3.6.1
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HFOPDE, chapter 3.6.2
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HFOPDE, chapter 3.6.3
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HFOPDE, chapter 3.6.4
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HFOPDE, chapter 3.6.5
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HFOPDE, chapter 3.7.1
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HFOPDE, chapter 3.7.2
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HFOPDE, chapter 3.7.3
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HFOPDE, chapter 3.7.4
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HFOPDE, chapter 3.8.1
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HFOPDE, chapter 3.8.2
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HFOPDE, chapter 3.8.3
97
HFOPDE, chapter 3.8.4
98
HFOPDE, chapter 4.1.1
99
HFOPDE, chapter 4.2.1
100
HFOPDE, chapter 4.2.2
101
HFOPDE, chapter 4.2.3
102
HFOPDE, chapter 4.2.4
103
HFOPDE, chapter 4.3.1
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HFOPDE, chapter 4.3.2
105
HFOPDE, chapter 4.4.1
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HFOPDE, chapter 4.4.2
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HFOPDE, chapter 4.4.3
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HFOPDE, chapter 4.4.4
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HFOPDE, chapter 4.4.5
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HFOPDE, chapter 4.5.1
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HFOPDE, chapter 4.5.2
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HFOPDE, chapter 4.6.1
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HFOPDE, chapter 4.6.2
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HFOPDE, chapter 4.6.3
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HFOPDE, chapter 4.6.4
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HFOPDE, chapter 4.6.5
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HFOPDE, chapter 4.7.1
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HFOPDE, chapter 4.7.2
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HFOPDE, chapter 4.7.3
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HFOPDE, chapter 4.7.4
121
HFOPDE, chapter 4.8.1
122
HFOPDE, chapter 4.8.2
123
HFOPDE, chapter 4.8.3
124
HFOPDE, chapter 4.8.4
125
HFOPDE, chapter 5.2.1
126
HFOPDE, chapter 5.2.2
127
HFOPDE, chapter 5.2.3
128
HFOPDE, chapter 5.2.4
129
HFOPDE, chapter 5.3.1
130
HFOPDE, chapter 5.3.2
131
HFOPDE, chapter 5.4.1
132
HFOPDE, chapter 5.4.2
133
HFOPDE, chapter 5.4.3
134
HFOPDE, chapter 5.4.4
135
HFOPDE, chapter 5.4.5
136
HFOPDE, chapter 5.5.1
137
HFOPDE, chapter 5.5.2
138
HFOPDE, chapter 5.6.1
139
HFOPDE, chapter 5.6.2
140
HFOPDE, chapter 5.6.3
141
HFOPDE, chapter 5.6.4
142
HFOPDE, chapter 5.6.5
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HFOPDE, chapter 5.7.1
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HFOPDE, chapter 5.7.2
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HFOPDE, chapter 5.7.3
146
HFOPDE, chapter 5.7.4
147
HFOPDE, chapter 5.8.1
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HFOPDE, chapter 5.8.2
149
HFOPDE, chapter 5.8.3
150
HFOPDE, chapter 6.2.1
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HFOPDE, chapter 6.2.2
152
HFOPDE, chapter 6.2.3
153
HNPDE, chapter 1.1.1
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HNPDE, chapter 1.1.2
155
HNPDE, chapter 1.1.3
156
HNPDE, chapter 1.1.4