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- Title
Unconditionally stable modified methods for the solution of two‐ and three‐dimensional telegraphic equation with Robin boundary conditions.
- Authors
Singh, Swarn; Singh, Suruchi; Lin, Ping; Arora, Rajni
- 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.
- Subjects
NUMERICAL solutions to boundary value problems; APPROXIMATION theory; MATRICES (Mathematics); STABILITY theory; NEUMANN boundary conditions
- Publication
Numerical Methods for Partial Differential Equations, 2019, Vol 35, Issue 1, p246
- ISSN
0749-159X
- Publication type
Article
- DOI
10.1002/num.22299