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Volume 11, Issue 3
Implicit Difference Methods for Degenerate Hyperbolic Equations of Second Order

Zhen Han

J. Comp. Math., 11 (1993), pp. 193-204.

Published online: 1993-11

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  • Abstract

This paper is a sequel to [2]. A two parameter family of explicit and implicit schemes is constructed for the numerical solution of the degenerate hyperbolic equations of second order. We prove the existence and the uniqueness of the solutions of these schemes. Furthermore, we prove that these schemes are stable for the initial values and that the numerical solution is convergent to the unique generalized solution of the partial differential equation.  

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@Article{JCM-11-193, author = {Zhen Han}, title = {Implicit Difference Methods for Degenerate Hyperbolic Equations of Second Order}, journal = {Journal of Computational Mathematics}, year = {1993}, volume = {11}, number = {3}, pages = {193--204}, abstract = {

This paper is a sequel to [2]. A two parameter family of explicit and implicit schemes is constructed for the numerical solution of the degenerate hyperbolic equations of second order. We prove the existence and the uniqueness of the solutions of these schemes. Furthermore, we prove that these schemes are stable for the initial values and that the numerical solution is convergent to the unique generalized solution of the partial differential equation.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9318.html} }
TY - JOUR T1 - Implicit Difference Methods for Degenerate Hyperbolic Equations of Second Order AU - Zhen Han JO - Journal of Computational Mathematics VL - 3 SP - 193 EP - 204 PY - 1993 DA - 1993/11 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9318.html KW - AB -

This paper is a sequel to [2]. A two parameter family of explicit and implicit schemes is constructed for the numerical solution of the degenerate hyperbolic equations of second order. We prove the existence and the uniqueness of the solutions of these schemes. Furthermore, we prove that these schemes are stable for the initial values and that the numerical solution is convergent to the unique generalized solution of the partial differential equation.  

Zhen Han. (1993). Implicit Difference Methods for Degenerate Hyperbolic Equations of Second Order. Journal of Computational Mathematics. 11 (3). 193-204. doi:
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