-Stable Derivative-Free Error-Corrected Trapezoidal Rule for Burgers' Equation with Inconsistent Initial and Boundary Conditions
2012 ◽
Vol 2012
◽
pp. 1-13
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Keyword(s):
We combine suitable arithmetic average approximations, with explicit backward Euler formula, and derive a third-order -stable derivative-free error-corrected trapezoidal rule (LSDFECT). Then, we apply LSDFECT rule to the linearized Burgers' equation with inconsistent initial and boundary conditions and test its stability and exactness. We use Mathematica 7.0 for computation.
2004 ◽
Vol 68
(2)
◽
pp. 404
◽
Keyword(s):
2003 ◽
Vol 2003
(43)
◽
pp. 2735-2746
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2008 ◽
Vol 24
(6)
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pp. 1371-1387
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Keyword(s):
1998 ◽
Vol 21
(2)
◽
pp. 299-305
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2013 ◽
Vol 177
(1)
◽
pp. 1361-1376
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Keyword(s):