A method for the numerical integration of the one-dimensional heat equation using chebyshev series
1961 ◽
Vol 57
(4)
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pp. 823-832
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Keyword(s):
The One
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ABSTRACTA numerical solution ofwith general linear boundary conditions alongx= ±1, is described where at any timetthe Chebyshev expansion of θ(x,t) in –1 ≤x≤ 1 is computed directly. Compared with the more usual finite difference methods, this method requires much less computation and there are no stability problems. Two cases are considered in detail.
Keyword(s):
Keyword(s):
1990 ◽
Vol 20
(11)
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pp. 67-82
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Keyword(s):
2006 ◽
Vol 182
(1)
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pp. 607-609
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2015 ◽
Vol 33
(1)
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pp. 17-32
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2009 ◽
Vol 215
(4)
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pp. 1609-1621
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Keyword(s):
1999 ◽
Vol 103
(2)
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pp. 251-261
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