The initial temperature of a long thin rod is u(x, 0) = 40, and the rod is divided into three equal segments asthe following:node = 01T=80°CT=20°C9cmThe temperature at node 1 (using Ax= 3cm and At = 0.1s) by using the explicit method isa. 40.688O b. 40.888О с. 40.733O d. 40.222

Given the initial temperature function is, ux,0=40 As we know, ∂T∂t=α∂2T∂x2 Where, α=0.8…

Answered: The initial temperature of a long thin…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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The initial temperature of a long thin rod is u(x, 0) = 40, and the rod is divided into three equal segments as the following: node = 0 1 3 T=80°C T=20°C 9cm The temperature at node 1 (using Ax= 3cm and At = 0.1s) by using the explicit method is