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Solving partial differential equations in Maple and Mathematica

Nasser M. Abbasi

March 13, 2019   Compiled on March 13, 2019 at 11:46pm
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 Diffusion Reaction in 1D
11 Laplace PDE in Cartesian coordinates
12 Laplace PDE in Polar coordinates
13 Laplace PDE in Spherical coordinates
14 Poisson PDE in Cartesian coordinates
15 Helmholtz PDE in Cartesian coordinates
16 Reduced Helmholtz PDE in Cartesian coordinates
17 Wave PDE on finite length string
18 Wave PDE on semi-infinite domain
19 Wave PDE 1D infinite domain
20 Wave PDE in 2D Cartesian coordinates
21 Wave PDE in 2D Polar coordinates
22 Wave PDE in 3D Spherical coordinates
23 Wave PDE in 3D Cylindrical coordinates
24 Schrodinger PDE
25 Beam PDE
26 Burger’s PDE
27 Black Scholes PDE
28 Korteweg-deVries PDE
29 Tricomi PDE
30 Cauchy Riemann PDE’s
31 Hamilton-Jacobi PDE
32 miscellaneous PDE’s
33 Nonlinear PDE’s
34 HFOPDE, chapter 1
35 HFOPDE, chapter 2.2.1
36 HFOPDE, chapter 2.2.2
37 HFOPDE, chapter 2.2.3
38 HFOPDE, chapter 2.2.4
39 HFOPDE, chapter 2.2.5
40 HFOPDE, chapter 2.3.1
41 HFOPDE, chapter 2.3.2
42 HFOPDE, chapter 2.4.1
43 HFOPDE, chapter 2.4.2
44 HFOPDE, chapter 2.4.3
45 HFOPDE, chapter 2.4.4
46 HFOPDE, chapter 2.4.5
47 HFOPDE, chapter 2.5.1
48 HFOPDE, chapter 2.5.2
49 HFOPDE, chapter 2.6.1
50 HFOPDE, chapter 2.6.2
51 HFOPDE, chapter 2.6.3
52 HFOPDE, chapter 2.6.4
53 HFOPDE, chapter 2.6.5
54 HFOPDE, chapter 2.7.1
55 HFOPDE, chapter 2.7.2
56 HFOPDE, chapter 2.7.3
57 HFOPDE, chapter 2.7.4
58 HFOPDE, chapter 2.8.1
59 HFOPDE, chapter 2.8.2
60 HFOPDE, chapter 2.8.3
61 HFOPDE, chapter 2.8.4
62 HFOPDE, chapter 2.8.5
63 HFOPDE, chapter 2.8.6
64 HFOPDE, chapter 2.9.1
65 HFOPDE, chapter 2.9.2
66 HFOPDE, chapter 2.9.3
67 HFOPDE, chapter 3 examples
68 HFOPDE, chapter 3.2.1
69 HFOPDE, chapter 3.2.2
70 HFOPDE, chapter 3.2.3
71 HFOPDE, chapter 3.2.4
72 HFOPDE, chapter 3.3.1
73 HFOPDE, chapter 3.3.2
74 HFOPDE, chapter 3.4.1
75 HFOPDE, chapter 3.4.2
76 HFOPDE, chapter 3.4.3
77 HFOPDE, chapter 3.4.4
78 HFOPDE, chapter 3.4.5
79 HFOPDE, chapter 3.5.1
80 HFOPDE, chapter 3.5.2
81 HFOPDE, chapter 3.5.3
82 HFOPDE, chapter 3.6.1
83 HFOPDE, chapter 3.6.2
84 HFOPDE, chapter 3.6.3
85 HFOPDE, chapter 3.6.4
86 HFOPDE, chapter 3.6.5
87 HFOPDE, chapter 3.7.1
88 HFOPDE, chapter 3.7.2
89 HFOPDE, chapter 3.7.3
90 HFOPDE, chapter 3.7.4
91 HFOPDE, chapter 3.8.1
92 HFOPDE, chapter 3.8.2
93 HFOPDE, chapter 3.8.3
94 HFOPDE, chapter 3.8.4
95 HFOPDE, chapter 4.1.1
96 HFOPDE, chapter 4.2.1
97 HFOPDE, chapter 4.2.2
98 HFOPDE, chapter 4.2.3
99 HFOPDE, chapter 4.2.4
100 HFOPDE, chapter 4.3.1
101 HFOPDE, chapter 4.3.2
102 HFOPDE, chapter 4.4.1
103 HFOPDE, chapter 4.4.2
104 HFOPDE, chapter 4.4.3
105 HFOPDE, chapter 4.4.4
106 HFOPDE, chapter 4.4.5
107 HFOPDE, chapter 4.5.1
108 HFOPDE, chapter 4.5.2
109 HFOPDE, chapter 4.6.1
110 HFOPDE, chapter 4.6.2
111 HFOPDE, chapter 4.6.3
112 HFOPDE, chapter 4.6.4
113 HFOPDE, chapter 4.6.5
114 HFOPDE, chapter 4.7.1
115 HFOPDE, chapter 4.7.2
116 HFOPDE, chapter 4.7.3
117 HFOPDE, chapter 4.7.4
118 HFOPDE, chapter 4.8.1
119 HFOPDE, chapter 4.8.2
120 HFOPDE, chapter 4.8.3
121 HFOPDE, chapter 4.8.4
122 HFOPDE, chapter 5.2.1
123 HFOPDE, chapter 5.2.2
124 HFOPDE, chapter 5.2.3
125 HFOPDE, chapter 5.2.4