Use the Finite Difference method to approximate the solution to 2u x 2 + 2u y2 = 0, 1 <
Chapter 12, Problem 12.1.2(choose chapter or problem)
Use the Finite Difference method to approximate the solution to 2u x 2 + 2u y2 = 0, 1 < x < 2, 0 < y < 1; u(x, 0) = 2 ln x, u(x, 1) = ln(x 2 + 1), 1 x 2; u(1, y) = ln(y2 + 1), u(2, y) = ln(y2 + 4), 0 y 1. Use h = k = 1 3 , and compare the results to the actual solution u(x, y) = ln(x 2 + y2).
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer