PDEs Files

Wave Equation is Partial Differential Equation(PDE) of hyperbolic type. The solution using Finite-Difference method. Wave equation:

$\frac{\partial^2 U(x,t)}{\partial t^2}=c^2\frac{\partial^2 U(x,t)}{\partial x^2}$

To approximate the solution of Wave Equation Utt(x,t)=c^2 Uxx(x,t) over R = {(x,t): 0 ≤ x ≤ a, 0 ≤ t ≤ b with U(0,t)=0, U(a,t)=0 for 0 ≤ t ≤ b and U(x,0)=F(x), Ut(x,0)=G(x) for 0 ≤ x ≤ a . m,n are dimensions of the grid,(for i=1 to n; for j=1 to m) and c is wave equation constant. This app build in PyCharm 2022 CE. Use lib:

1. pymep as math parser to input math equation at runtime.
2. plotly as 3D(Surface) graph to display on browser.