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Results tagged with differential-equations
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user 54681
Questions on the symbolic (DSolve, DifferentialRoot) and numerical (NDSolve) solutions of differential equations in Mathematica.
2
votes
1
answer
172
views
Unstable boundary values using NDSolve?
I have an equation:
w1[u_]=-(1/2) u^2 ea e0 Sin[2 a[z]] + K (a''[z])
with numerical values,
K = 6.2*10^-12; ea = 10; e0 = 8.85*10^-12; L = 1;
nd=NDSolve[{w1[1]==0,a[0]==0,a[L]==0},a[z],{z,0,L}];
gr …
- 877
3
votes
1
answer
123
views
Complex equations: NDSolveValue / FEM,
So, I am trying to solve a simple problem using the FEM method.
The distribution of Voltage over a region,
The region is,
<< NDSolve`FEM`
bm = ToBoundaryMesh[
"Coordinates" -> {{0., 0.}, {1., 0.} …
- 877
4
votes
1
answer
123
views
Finite Element analysis: distribution of sine wave over a distance
I am trying to solve the following one-dimensional problem:
(to better understand and extend the FEM for a more complex problem),
Needs["NDSolve`FEM`"]
f = 1000;
x0 = 1;
e = 2;
l = 100;
d = 10;
u[x_ …
- 877
2
votes
1
answer
97
views
Findroot: Boundary value problem
I have an equation,
ele[E2_] = -(1/(2 K3))
L (E2^2 ea eo Sin[2 g[z]] - (K1 - K3) Sin[2 g[z]] Derivative[1][
g][z]^2 + (K1 + K3 + (K1 - K3) Cos[2 g[z]]) (
g^\[Prime]\[Prime])[z])
(* an …
- 877
0
votes
2
answers
132
views
Selecting the specific values from a table and saving in a table:
I have the following code:
Clear["Global`*"]
K1 = 12;
K3 = 195/10;
eo = 885/100;
ea = 145/10;
L = 1;
ele[E2_] = -(1/(2 K3)) L (E2^2 ea eo Sin[2 g[z]] - (K1 - K3) Sin[
2 g[z]] g'[z]^2 + (K1 + …
- 877
1
vote
0
answers
91
views
Selecting only one out of many: Differential equation
I have the following code:
Clear["Global`*"]
K1 = 12;
K3 = 195/10;
eo = 885/100;
ea = 145/10;
L = 1;
ele[E2_] = -(1/(2 K3)) L (E2^2 ea eo Sin[2 g[z]] - (K1 - K3) Sin[
2 g[z]] g'[z]^2 + (K1 + …
- 877