tings - Zoom SITUATION 2 Consider the following PDE: 9u + 37% = sin(2x) + cos(2y),...

Transcribed Image Text:

tings - Zoom SITUATION 2 Consider the following PDE: 9²u + 37% = sin(2x) + cos(2y), x= [0, ¾], y= T y = [0, ²] dr² The boundary conditions for the given domain are as follows: u (x = 0, y) = u(x, y = ³) = 1 (x = 1, y) = ³ (x, y = 0) = 1 Da For solutions using finite difference method, the domain should be divided such that there will be three segments along x- and y-directions. O Find a Quiz - Quizizz AND Question 7 20 pts (a) Derive the governing finite difference equation for the given PDE. (5 PTS) (b) Considering the given boundary conditions, set-up the system of equations that would solve for the values of u(x, y) at the mesh points with unknown values. (15 PTS) Edit View Insert Format Tools Table 12pt M Paragraph M B I Ụ An Du Tên bà Ê B tings - Zoom SITUATION 2 Consider the following PDE: 9²u + 37% = sin(2x) + cos(2y), x= [0, ¾], y= T y = [0, ²] dr² The boundary conditions for the given domain are as follows: u (x = 0, y) = u(x, y = ³) = 1 (x = 1, y) = ³ (x, y = 0) = 1 Da For solutions using finite difference method, the domain should be divided such that there will be three segments along x- and y-directions. O Find a Quiz - Quizizz AND Question 7 20 pts (a) Derive the governing finite difference equation for the given PDE. (5 PTS) (b) Considering the given boundary conditions, set-up the system of equations that would solve for the values of u(x, y) at the mesh points with unknown values. (15 PTS) Edit View Insert Format Tools Table 12pt M Paragraph M B I Ụ An Du Tên bà Ê B

Answer rating: 100% (QA)

sin 2x 2 cas 2x1 4212 11 41 4 sin 1 las 2 422 4144112 2 D so the set of equations ... View the full answer