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A New High-Order Approximation for the Solution of Two-Space-Dimensional Quasilinear Hyperbolic Equations
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-18
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
we propose a new high-order approximation for the solution of two-space-dimensional quasilinear hyperbolic partial differential equation of the form utt=A(x,y,t,u)uxx+B(x,y,t,u)uyy+g(x,y,t,u,ux,uy,ut), 0
We use only five evaluations of the function g as compared to seven evaluations of the same function discussed by (Mohanty et al., 1996 and 2001).
We describe the derivation procedure in details and also discuss how our formulation is able to handle the wave equation in polar coordinates.
The proposed method when applied to a linear hyperbolic equation is also shown to be unconditionally stable.
Some examples and their numerical results are provided to justify the usefulness of the proposed method.
American Psychological Association (APA)
Mohanty, R. K.& Singh, Suruchi. 2011. A New High-Order Approximation for the Solution of Two-Space-Dimensional Quasilinear Hyperbolic Equations. Advances in Mathematical Physics،Vol. 2011, no. 2011, pp.1-22.
https://search.emarefa.net/detail/BIM-470836
Modern Language Association (MLA)
Mohanty, R. K.& Singh, Suruchi. A New High-Order Approximation for the Solution of Two-Space-Dimensional Quasilinear Hyperbolic Equations. Advances in Mathematical Physics No. 2011 (2011), pp.1-22.
https://search.emarefa.net/detail/BIM-470836
American Medical Association (AMA)
Mohanty, R. K.& Singh, Suruchi. A New High-Order Approximation for the Solution of Two-Space-Dimensional Quasilinear Hyperbolic Equations. Advances in Mathematical Physics. 2011. Vol. 2011, no. 2011, pp.1-22.
https://search.emarefa.net/detail/BIM-470836
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-470836