3) The governing equation in a plate is given by 2 + 4- ?...

Transcribed Image Text:

3) The governing equation in a plate is given by ЗР — 2 + 4- ду? The plate is subjected to the following boundary conditions: Insulation on x = 1; 0 < y < 1 • P= 1 on x = 0; 0 < y < 1 = -P/4 on y = 0; 0<x <1 | ду Insulation on y = 1; 0 < x < 1 Employing a uniform grid spacing of h=0.5 in both x & y directions. A) Display the finite difference grid. B) Write the finite difference equations at i,j. C) Show the finite difference molecule. D) Write the set of finite difference equations for h=1 and solve then 3) The governing equation in a plate is given by ЗР — 2 + 4- ду? The plate is subjected to the following boundary conditions: Insulation on x = 1; 0 < y < 1 • P= 1 on x = 0; 0 < y < 1 = -P/4 on y = 0; 0<x <1 | ду Insulation on y = 1; 0 < x < 1 Employing a uniform grid spacing of h=0.5 in both x & y directions. A) Display the finite difference grid. B) Write the finite difference equations at i,j. C) Show the finite difference molecule. D) Write the set of finite difference equations for h=1 and solve then