New high accuracy super stable alternating direction implicit methods for two and three dimensional hyperbolic damped wave equations-Reference-Cited by-同舟云学术

New high accuracy super stable alternating direction implicit methods for two and three dimensional hyperbolic damped wave equations

Published:2014 Issue: Volume:4 Page:156-163
ISSN:2211-3797
Container-title:Results in Physics
language:en
Short-container-title:Results in Physics

Author:

Mohanty R.K.

Publisher

Elsevier BV

Subject

General Physics and Astronomy

Reference38 articles.

1. A positivity-preserving non-standard finite difference scheme for the damped wave equation;Mickens;Numer Methods Partial Differ Equ,2004

2. A new positivity-preserving non-standard finite difference scheme for the damped wave equation;Mickens;Numer Methods Partial Differ Equ,2005

3. On the use of high order difference methods for the system of one space second order non-linear hyperbolic equations with variable coefficients;Mohanty;J Comput Appl Math,1996

4. High accuracy Numerov type discretization for the solution of one space dimensional non-linear wave equations with variable coefficients;Mohanty;J Adv Res Sci Comput,2011

5. High order difference schemes for the system of two space dimensional second order non-linear hyperbolic equation with variable coefficients;Mohanty;J Comput Appl Math,1996

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