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# Solved: Use the Forward-Difference method to approximate the solution to the following

ISBN: 9780534392000 331

## Solution for problem 12.2.5 Chapter 12-2

Numerical Analysis (Available Titles CengageNOW) | 8th Edition

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Numerical Analysis (Available Titles CengageNOW) | 8th Edition

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Problem 12.2.5

Use the Forward-Difference method to approximate the solution to the following parabolic partial differential equations. a. u t 2u x 2 = 0, 0 < x < 2, 0 < t; u(0, t) = u(2, t) = 0, 0 < t, u(x, 0) = sin 2x, 0 x 2. Use h = 0.4 and k = 0.1, and compare your results at t = 0.5 to the actual solution u(x, t) = e42t sin 2x. Then use h = 0.4 and k = 0.05, and compare the answers. b. u t 2u x 2 = 0, 0 < x < , 0 < t; u(0, t) = u(, t) = 0, 0 < t, u(x, 0) = sin x, 0 x . Use h = /10 and k = 0.05, and compare your results at t = 0.5 to the actual solution u(x, t) = et sin x.

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##### ISBN: 9780534392000

Numerical Analysis (Available Titles CengageNOW) was written by and is associated to the ISBN: 9780534392000. The full step-by-step solution to problem: 12.2.5 from chapter: 12-2 was answered by , our top Calculus solution expert on 03/05/18, 08:28PM. The answer to “Use the Forward-Difference method to approximate the solution to the following parabolic partial differential equations. a. u t 2u x 2 = 0, 0 < x < 2, 0 < t; u(0, t) = u(2, t) = 0, 0 < t, u(x, 0) = sin 2x, 0 x 2. Use h = 0.4 and k = 0.1, and compare your results at t = 0.5 to the actual solution u(x, t) = e42t sin 2x. Then use h = 0.4 and k = 0.05, and compare the answers. b. u t 2u x 2 = 0, 0 < x < , 0 < t; u(0, t) = u(, t) = 0, 0 < t, u(x, 0) = sin x, 0 x . Use h = /10 and k = 0.05, and compare your results at t = 0.5 to the actual solution u(x, t) = et sin x.” is broken down into a number of easy to follow steps, and 148 words. This textbook survival guide was created for the textbook: Numerical Analysis (Available Titles CengageNOW) , edition: 8. This full solution covers the following key subjects: . This expansive textbook survival guide covers 69 chapters, and 1072 solutions. Since the solution to 12.2.5 from 12-2 chapter was answered, more than 222 students have viewed the full step-by-step answer.

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Solved: Use the Forward-Difference method to approximate the solution to the following

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