Equations of Mathematical Physics

Equations of Mathematical Physics

1. Hyperbolic Equations

   • Wave Equation
     • Homogeneous
       • Utt = c^2*Uxx
     • Nonhomogeneous
       • Utt = c^2*Uxx + f(x,t)

2. Elliptic Equations

   • Heat Conduction Equation
     • Homogeneous
       • Ut = k^2*Uxx
     • Nonhomogeneous
       • Ut = k^2 * Uxx + f(x,t)
     • Homogeneous BC
     • Nonhomogeneous BC

3. Parabolic Equations

   • Laplace Equation
     • Cube
     • Rectangle
     • Circle
     • Cylinder
     • Sphere
   • Spherical Coordinates
     • Spherical Symmetry
   • Cylindrical Coordinates
     • Cylindrical Symmetry