du= 4I Example 11.11. Find the values of ulx, t) satisfying the parabolic equationand the boundary conditions u(0, t) = 0 = u(8, t) and u(x, 0) = 4x -- x2 at the points x =i:į = 0, 1, 2, .., 7 and t = j:j = 0, 1, 2,%3D%3D5......

Here we need to find the values of u(x,t).

Answered: Example 11.11. Find the values of ulx,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Example 11.11. Find the values of ulx, t) satisfying the parabolic equation :4 at and the boundary conditions u(0, t) = 0 = u(8, t) and u(x, 0) = 4x - x² at the points x = i : i = 0, 1, 2, 7 and t = j:j = 0, 1, 2, ., 5. ,........y .......