Abstract
In this article, we discuss modified three level implicit difference methods of order two in time and four in space for the numerical solution of two- and three-dimensional telegraphic equation with Robin boundary conditions. Ghost points are introduced to obtain fourth-order approximations for boundary conditions. Matrix stability analysis is carried out to prove stability of the method for telegraphic equations in two and three dimensions with Neumann boundary conditions. Numerical experiments are carried out and the results are found to be better when compared with the results obtained by other existing methods.
Original language | English |
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Pages (from-to) | 246-266 |
Number of pages | 21 |
Journal | Numerical Methods for Partial Differential Equations |
Volume | 35 |
Issue number | 1 |
Early online date | 15 Jul 2018 |
DOIs | |
Publication status | Published - Jan 2019 |
Keywords
- Neumann boundary conditions
- Numerov type approximation
- Robin boundary conditions
- matrix stability
- telegraphic equation
- unconditionally stable
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics