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Get Full Access to Numerical Analysis - 10 Edition - Chapter 12.2 - Problem 6
Get Full Access to Numerical Analysis - 10 Edition - Chapter 12.2 - Problem 6

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# Answer: Use the Forward-Difference method to approximate the solution to the following ISBN: 9781305253667 457

## Solution for problem 6 Chapter 12.2

Numerical Analysis | 10th Edition

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Problem 6

Use the Forward-Difference method to approximate the solution to the following parabolic partial differential equations. 3u . 3 2 u a. -t=0, 0 < x < 4, 0 < f; 3t 71 rix2 h(0, t) m(4, r) = 0, 0 < r, h(x. 0) = sin |x (l + 2 cos |x), 0 < x < 4. Use h 0.2 and k 0.04 and compare your results at / = 0.4 to the actual solution u(x, t) e~' sin fx + c _ ' /4 sin fx. du 1 d 2 u b - lu 2 TT = 0 ' 0 < x < 1, 0 < t; dt 7T dx2 m(0, /) = m(I, f) = 0, 0 < r, i/(x, 0) = COSTT (x 5) , 0

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##### ISBN: 9781305253667

The full step-by-step solution to problem: 6 from chapter: 12.2 was answered by , our top Math solution expert on 03/16/18, 03:24PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 76 chapters, and 1204 solutions. Since the solution to 6 from 12.2 chapter was answered, more than 232 students have viewed the full step-by-step answer. The answer to “Use the Forward-Difference method to approximate the solution to the following parabolic partial differential equations. 3u . 3 2 u a. -t=0, 0 < x < 4, 0 < f; 3t 71 rix2 h(0, t) m(4, r) = 0, 0 < r, h(x. 0) = sin |x (l + 2 cos |x), 0 < x < 4. Use h 0.2 and k 0.04 and compare your results at / = 0.4 to the actual solution u(x, t) e~' sin fx + c _ ' /4 sin fx. du 1 d 2 u b - lu 2 TT = 0 ' 0 < x < 1, 0 < t; dt 7T dx2 m(0, /) = m(I, f) = 0, 0 < r, i/(x, 0) = COSTT (x 5) , 0” is broken down into a number of easy to follow steps, and 129 words. Numerical Analysis was written by and is associated to the ISBN: 9781305253667. This textbook survival guide was created for the textbook: Numerical Analysis, edition: 10.

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