L-Stable Derivative-Free Error-Corrected Trapezoidal Rule for Burgers' Equation with Inconsistent Initial and Boundary Conditions
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-27
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We combine suitable arithmetic average approximations, with explicit backward Euler formula, and derive a third-order L-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.
American Psychological Association (APA)
Verma, Lajja. 2012. L-Stable Derivative-Free Error-Corrected Trapezoidal Rule for Burgers' Equation with Inconsistent Initial and Boundary Conditions. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-500889
Modern Language Association (MLA)
Verma, Lajja. L-Stable Derivative-Free Error-Corrected Trapezoidal Rule for Burgers' Equation with Inconsistent Initial and Boundary Conditions. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-500889
American Medical Association (AMA)
Verma, Lajja. L-Stable Derivative-Free Error-Corrected Trapezoidal Rule for Burgers' Equation with Inconsistent Initial and Boundary Conditions. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-500889
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-500889