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On the generalized heat-equation
Published online by Cambridge University Press: 20 January 2009
Extract
The general heat equation is defined as
where v is a fixed positive number and α is a fixed number. If v = α = 0, then (1.1) reduces to the ordinary heat equation
where u(x,t) is regarded as the temperature at a point x at time t, in an infinite insulated rod extended along the x-axis in the xt-plane. If we set , then (1.1) becomes
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 27 , Issue 3 , October 1984 , pp. 261 - 273
- Copyright
- Copyright © Edinburgh Mathematical Society 1984
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