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On the generalized heat-equation

Published online by Cambridge University Press:  20 January 2009

C. Nasim  and
B. D. Aggarwala
C. Nasim
Affiliation:
Department of MathematicsUniversity of CalgaryCalgary, AlbertaCanada T2N 1N4
B. D. Aggarwala
Affiliation:
Department of MathematicsUniversity of CalgaryCalgary, AlbertaCanada T2N 1N4
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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

References

REFERENCES

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