A Fictitious Time Integration Method for a One-dimensional Hyperbolic Boundary Value Problem
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Authors
Mir Sajjad Hashemi
- Department of Mathematics, Basic Science Faculty, University of Bonab, Bonab 55517, Iran
Maryam Sariri
- Department of Mathematics, Basic Science Faculty, University of Bonab, Bonab 55517, Iran
Abstract
This paper gives an estimate for the initial-boundary value problem of wave equations by using the
Fictitious Time Integration Method (FTIM) previously developed by Liu and Atluri [1]. Given examples
confirm that FTIM is highly efficient approach to find the true solutions. It is interesting that the FTIM
can easily treat the boundary value problems without any iteration and has high efficiency and high
accuracy.
Share and Cite
ISRP Style
Mir Sajjad Hashemi, Maryam Sariri, A Fictitious Time Integration Method for a One-dimensional Hyperbolic Boundary Value Problem, Journal of Mathematics and Computer Science, 14 (2015), no. 2, 87-96
AMA Style
Hashemi Mir Sajjad, Sariri Maryam, A Fictitious Time Integration Method for a One-dimensional Hyperbolic Boundary Value Problem. J Math Comput SCI-JM. (2015); 14(2):87-96
Chicago/Turabian Style
Hashemi, Mir Sajjad, Sariri, Maryam. "A Fictitious Time Integration Method for a One-dimensional Hyperbolic Boundary Value Problem." Journal of Mathematics and Computer Science, 14, no. 2 (2015): 87-96
Keywords
- Wave Equation
- method of line
- Fictitious Time Integration Method
- Group preserving scheme
- Lie group
- Geometric numerical integration.
MSC
References
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