The function U(x, y) satisfies the equation au au + = -2, 2 at every...

Transcribed Image Text:

The function U(x, y) satisfies the equation a²u a²u + = -2, дх2 дуг at every point inside the square: -1 ≤ x ≤ 1 & -1 ≤ y ≤ 1, and is zero on the boundary. (i). (ii). Calculate a finite difference solution using a square mesh of side 2 Assuming the discretization error is proportional to h² calculate an improved value of U at the point (1,0). The function U(x, y) satisfies the equation a²u a²u + = -2, дх2 дуг at every point inside the square: -1 ≤ x ≤ 1 & -1 ≤ y ≤ 1, and is zero on the boundary. (i). (ii). Calculate a finite difference solution using a square mesh of side 2 Assuming the discretization error is proportional to h² calculate an improved value of U at the point (1,0).

Answer rating: 100% (QA)

Solution of every every ... View the full answer