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), centeredT12100°CO°Cfinite-divideddifferencescansubstitutedforthesecondT100°C0°Cderivatives, which results in asystem of linear algebraic equationsas follows:75°C75°CUse the Gauss-Seidel method tosolve for the temperatures of the(175|1257525-1 -14-14nodesin Fig.1.Performthe0 - 1||T,24-1|T21-computation until ɛ, is less than Es= 0.5%.-1 -14[T2MATH206 week (5)45Spring 2021, 20/4/2021

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 differences T T 100°C O'C finite-divided can substituted for the second T 100°CO Qo'c derivatives, which results in a system of linear algebraic equations

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 differences T T 100°C O'C finite-divided can substituted for the second T 100°CO Qo'c derivatives, which results in a system of linear algebraic equations

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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