An Efficient Technique of Linearization towards Fourth Order Finite Differences for Numerical Solution of the 1D Burgers Equation
2014 ◽
Vol 348
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pp. 285-290
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Keyword(s):
This work aims to solve the 1D Burgers equation, which represents a simplification of the Navier-Stokes equation, supposing the yielding only at x-direction and without pressure gradient. For such a solution, an implicit scheme (Cranck-Nicolson method) with a fourth order precision in space is utilized. The main contribution of this work is the application of a linearization technique of the non-linear term (advective term), and then, towards the analytical and numerical results from literature, validate and demonstrate it as being highly satisfactory.
2011 ◽
pp. 215-297
1987 ◽
Vol 101
(1)
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pp. 29-29
1997 ◽
Vol 67-68
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pp. 943
Keyword(s):
Keyword(s):
1977 ◽
Vol 11
(9)
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pp. 1439-1454
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Keyword(s):
2016 ◽
Vol 5
(1)
◽
pp. 63
2021 ◽
Vol 4
(2)
◽
pp. 88
2008 ◽
Vol 150
(6)
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pp. 2531-2539
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