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Is it possible to have a solution for 1-Dimensional heat equation which does not converge as time approaches infinity?

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Is it possible to have a solution for 1-Dimensional heat equation which does not converge as time approaches infinity?

(a) Yes

(b) No

I had been asked this question in unit test.

My question is based upon Solution of 1D Heat Equation topic in division Applications of Partial Differential Equations of Engineering Mathematics

1 Answer

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The correct choice is (b) No

The explanation is: It is not possible to have a solution which does not converge as time approaches infinity because the solution to a heat equation must be transient.

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