Numerical study of Fisher's equation by a Petrov-Galerkin finite element method
1991 ◽
Vol 33
(1)
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pp. 27-38
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Keyword(s):
AbstractFisher's equation, which describes a balance between linear diffusion and nonlinear reaction or multiplication, is studied numerically by a Petrov-Galerkin finite element method. The results show that any local initial disturbance can propagate with a constant limiting speed when time becomes sufficiently large. Both the limiting wave fronts and the limiting speed are determined by the system itself and are independent of the initial values. Comparing with other studies, the numerical scheme used in this paper is satisfactory with regard to its accuracy and stability. It has the advantage of being much more concise.
2015 ◽
Vol 31
(6)
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pp. 1875-1889
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2003 ◽
Vol 17
(1)
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pp. 39-59
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2021 ◽
Vol 394
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pp. 113525
2020 ◽
Vol 23
(4)
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pp. 777-790
2020 ◽
Vol 79
(11)
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pp. 3189-3205
2010 ◽
2015 ◽
Vol 114
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pp. 116-122
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