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Get answer: Approximate the solution to the following partial differential equation
Chapter 12, Problem 2(choose chapter or problem)
Approximate the solution to the following partial differential equation using the Backward-Difference method. u t 1 16 2u x2 = 0, 0 < x < 1, 0 < t; u(0, t) = u(1, t) = 0, 0 < t, u(x, 0) = 2 sin 2x, 0 x 1. Use m = 3, T = 0.1, and N = 2, and compare your results to the actual solution u(x, t) = 2e(2/4)t sin 2x.
Questions & Answers
QUESTION:
Approximate the solution to the following partial differential equation using the Backward-Difference method. u t 1 16 2u x2 = 0, 0 < x < 1, 0 < t; u(0, t) = u(1, t) = 0, 0 < t, u(x, 0) = 2 sin 2x, 0 x 1. Use m = 3, T = 0.1, and N = 2, and compare your results to the actual solution u(x, t) = 2e(2/4)t sin 2x.
ANSWER:Problem 2
Approximate the solution to the following partial differential equation using the Backward-Difference method
Use m = 3, T = 0.1, and N = 2, and compare your results to the actual solution
Step by Step Solution
Step 1 of 4
Given partial differential equation is
To approximate the solution of the above partial differential equation using backward difference method with
Comparing the given equation with the parabolic partial differential equation
