-Stable Derivative-Free Error-Corrected Trapezoidal Rule for Burgers' Equation with Inconsistent Initial and Boundary Conditions

Lajja Verma

International Journal of Mathematics and Mathematical Sciences, 2012, vol. 2012, 1-13

Abstract:

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:821907

DOI: 10.1155/2012/821907

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