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Results tagged with pde
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user 18208
Partial differential equations (PDEs) are equations that relate the partial derivatives of a function of more than one variable. This tag is intended for questions on modeling phenomena with PDEs, solving PDEs, and other related aspects.
3
votes
2
answers
3k
views
Hyperbolic Equation PDE (Python)
I'm trying to solve the following first order hyperbolic PDE problem using method of lines:
Hyperbolic Equation: $u_t = -u_x$
with initial condition: $u(0,x) = 0, 0 < x < 1$
boundary condition: $u(t,0 … np.meshgrid(x, tspan)
ax.plot_surface(SX, ST, sol, cmap='jet')
ax.set_xlabel('x')
ax.set_ylabel('t')
ax.set_zlabel('u(x,t)')
ax.view_init(elev=15, azim=-100) # adjust view so it is easy to see
plt.savefig('pde …
- 215
2
votes
0
answers
194
views
Modeling First Order Parabolic PDE (Battery Storage Model)
This is the code in Matlab:
function pde
global sigma r p
sigma = 0.5;
r = 0.01;
p = 1;
x_inf = 25;
N = 10;
M = 20;
delta_x = x_inf/N;
q_max = 1;
delta_q = q_max/M;
m = 0;
x = linspace(0, delta_x, …
- 215
1
vote
Applying the method of lines to parabolic PDEs: references and software
I don't have enough reputation to comment, but I hope this answer helps you.
Personally, I find that I learn best through example. Try looking at the code here to see how MOL was implemented in Python …
- 215
1
vote
0
answers
171
views
Boundary Conditions for the given PDE
Right now, I am trying to understand the Black-Scholes PDE. …
- 215
1
vote
1
answer
2k
views
Heat Equation - PDE
np.meshgrid(xmesh, tspan)
ax.plot_surface(SX, ST, sol, cmap='jet')
ax.set_xlabel('x')
ax.set_ylabel('t')
ax.set_zlabel('u')
ax.view_init(elev=30, azim=100) # adjust view so it is easy to see
plt.savefig('pde-transient-heat …
- 215
0
votes
2
answers
940
views
Wave Equation PDE [closed]
I'm trying to solve the following PDE wave equation using method of lines:
Wave Equation: u_tt = u_xx
with initial condition: u(0,x) = sin*pi,u_t(0,x)=0, 0 < x < 1
boundary condition: u(t,0) = 0, u(t …
- 215