The stability criteria for solution to the difference equation corresponding to the heat equation using the explicit approach is aAt 1. Assume that & = 0.1. If I choose Ax = 1 mm what will happen to the solution when At is set to 0.001 second?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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QUESTION 3
The stability criteria for solution to the difference equation corresponding to the heat equation using the explicit approach is
aAt
< 1. Assume that a = 0.1. If I choose Ax =1 mm what will happen to the solution when At is set to 0.001 second?
(Ax)²
It will diverge as it will not be stable
Solution will be equal to the analytical solution
It will not be accurate
O It will converge
Transcribed Image Text:QUESTION 3 The stability criteria for solution to the difference equation corresponding to the heat equation using the explicit approach is aAt < 1. Assume that a = 0.1. If I choose Ax =1 mm what will happen to the solution when At is set to 0.001 second? (Ax)² It will diverge as it will not be stable Solution will be equal to the analytical solution It will not be accurate O It will converge
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