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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
39 HFOPDE, chapter 2.2.2
40 HFOPDE, chapter 2.2.3
41 HFOPDE, chapter 2.2.4
42 HFOPDE, chapter 2.2.5
43 HFOPDE, chapter 2.3.1
44 HFOPDE, chapter 2.3.2
45 HFOPDE, chapter 2.4.1
46 HFOPDE, chapter 2.4.2
47 HFOPDE, chapter 2.4.3
48 HFOPDE, chapter 2.4.4
49 HFOPDE, chapter 2.4.5
50 HFOPDE, chapter 2.5.1
51 HFOPDE, chapter 2.5.2
52 HFOPDE, chapter 2.6.1
53 HFOPDE, chapter 2.6.2
54 HFOPDE, chapter 2.6.3
55 HFOPDE, chapter 2.6.4
56 HFOPDE, chapter 2.6.5
57 HFOPDE, chapter 2.7.1
58 HFOPDE, chapter 2.7.2
59 HFOPDE, chapter 2.7.3
60 HFOPDE, chapter 2.7.4
61 HFOPDE, chapter 2.8.1
62 HFOPDE, chapter 2.8.2
63 HFOPDE, chapter 2.8.3
64 HFOPDE, chapter 2.8.4
65 HFOPDE, chapter 2.8.5
66 HFOPDE, chapter 2.8.6
67 HFOPDE, chapter 2.9.1
68 HFOPDE, chapter 2.9.2
69 HFOPDE, chapter 2.9.3
70 HFOPDE, chapter 3 examples
71 HFOPDE, chapter 3.2.1
72 HFOPDE, chapter 3.2.2
73 HFOPDE, chapter 3.2.3
74 HFOPDE, chapter 3.2.4
75 HFOPDE, chapter 3.3.1
76 HFOPDE, chapter 3.3.2
77 HFOPDE, chapter 3.4.1
78 HFOPDE, chapter 3.4.2
79 HFOPDE, chapter 3.4.3
80 HFOPDE, chapter 3.4.4
81 HFOPDE, chapter 3.4.5
82 HFOPDE, chapter 3.5.1
83 HFOPDE, chapter 3.5.2
84 HFOPDE, chapter 3.5.3
85 HFOPDE, chapter 3.6.1
86 HFOPDE, chapter 3.6.2
87 HFOPDE, chapter 3.6.3
88 HFOPDE, chapter 3.6.4
89 HFOPDE, chapter 3.6.5
90 HFOPDE, chapter 3.7.1
91 HFOPDE, chapter 3.7.2
92 HFOPDE, chapter 3.7.3
93 HFOPDE, chapter 3.7.4
94 HFOPDE, chapter 3.8.1
95 HFOPDE, chapter 3.8.2
96 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
104 HFOPDE, chapter 4.3.2
105 HFOPDE, chapter 4.4.1
106 HFOPDE, chapter 4.4.2
107 HFOPDE, chapter 4.4.3
108 HFOPDE, chapter 4.4.4
109 HFOPDE, chapter 4.4.5
110 HFOPDE, chapter 4.5.1
111 HFOPDE, chapter 4.5.2
112 HFOPDE, chapter 4.6.1
113 HFOPDE, chapter 4.6.2
114 HFOPDE, chapter 4.6.3
115 HFOPDE, chapter 4.6.4
116 HFOPDE, chapter 4.6.5
117 HFOPDE, chapter 4.7.1
118 HFOPDE, chapter 4.7.2
119 HFOPDE, chapter 4.7.3
120 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
143 HFOPDE, chapter 5.7.1
144 HFOPDE, chapter 5.7.2
145 HFOPDE, chapter 5.7.3
146 HFOPDE, chapter 5.7.4
147 HFOPDE, chapter 5.8.1
148 HFOPDE, chapter 5.8.2
149 HFOPDE, chapter 5.8.3
150 HFOPDE, chapter 6.2.1
151 HFOPDE, chapter 6.2.2
152 HFOPDE, chapter 6.2.3
153 HNPDE, chapter 1.1.1
154 HNPDE, chapter 1.1.2
155 HNPDE, chapter 1.1.3
156 HNPDE, chapter 1.1.4