numerical mthod ди диâx² *conditions, u(0,t) = 20r² and u(1,1) =10t for t>0 and the initial condition,u(x,0) = x(1–x) for 00 with the boundary

Given- Given the heat equation, ∂u∂t = ∂2u∂x2, 0 ≤ x ≤ 1, t > 0 with the boundary conditions,…

Answered: 1. Given the heat equation, Osxs1, t>0…

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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1. Given the heat equation, Osxs1, t>0 with the boundary conditions, u(0,t) = 201² and u(1,1)=10t for t>0 and the initial condition, u(x,0) = x(1– x) for 0