3. The steady-state distribution of temperature on a heated plate canbe modeled by the Laplace equation,25°C25°CIf the plate is represented by aseries of nodes (Fig.1), centeredfinite-dividedT12100°CdifferencescansubstitutedforthesecondT31100°Cderivatives, which results in asystem of linear algebraic equationsas follows:75°C76°CUse the Gauss-Seidel method tosolve for the temperatures of thein Fig.1.0 |T,-1T2-1T,4(175)|1257525-1 -1414- 14-1 -111nodesPerformthe21computation until ɛ, is less than &s= 0.5%.T,22%3D

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3. The steady-state distribution of temperature on a heated plate can be modeled by the Laplace equation, 25°C 25°C If the plate is represented by a series of nodes (Fig.1), centered T12 100°C finite-divided differences can substituted for the second T31 100°C 10°C derivatives, which results in a system of linear algebraic equations as follows: 75°C 75°C

3. The steady-state distribution of temperature on a heated plate can be modeled by the Laplace equation, 25°C 25°C If the plate is represented by a series of nodes (Fig.1), centered T12 100°C finite-divided differences can substituted for the second T31 100°C 10°C derivatives, which results in a system of linear algebraic equations as follows: 75°C 75°C

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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