Volume 9, Issue 1
An Unconditionally Stable Numerical Method for Two-Dimensional Hyperbolic Equations

Swarn Singh, Suruchi Singh & Rajni Arora

East Asian J. Appl. Math., 9 (2019), pp. 195-211.

Published online: 2019-01

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  • Abstract

A collocation method based on exponential B-splines for two-dimensional second-order non-linear hyperbolic equations is studied. The initial equation is split into a system of coupled equations, each of which is transformed into a system of ordinary differential equations. The corresponding differential equations are solved by SSP-RK(2,2) method. It is shown that the method under consideration is unconditionally stable. Numerical experiments demonstrate its efficiency and accuracy

  • Keywords

Collocation method SSP-RK(2 2) telegraph equation tri-diagonal solver unconditional stability

  • AMS Subject Headings

65M60 65M06 65N30 65N06

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COPYRIGHT: © Global Science Press

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@Article{EAJAM-9-195, author = {}, title = {An Unconditionally Stable Numerical Method for Two-Dimensional Hyperbolic Equations}, journal = {East Asian Journal on Applied Mathematics}, year = {2019}, volume = {9}, number = {1}, pages = {195--211}, abstract = {

A collocation method based on exponential B-splines for two-dimensional second-order non-linear hyperbolic equations is studied. The initial equation is split into a system of coupled equations, each of which is transformed into a system of ordinary differential equations. The corresponding differential equations are solved by SSP-RK(2,2) method. It is shown that the method under consideration is unconditionally stable. Numerical experiments demonstrate its efficiency and accuracy

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.280118.100518 }, url = {http://global-sci.org/intro/article_detail/eajam/12942.html} }
TY - JOUR T1 - An Unconditionally Stable Numerical Method for Two-Dimensional Hyperbolic Equations JO - East Asian Journal on Applied Mathematics VL - 1 SP - 195 EP - 211 PY - 2019 DA - 2019/01 SN - 9 DO - http://dor.org/10.4208/eajam.280118.100518 UR - https://global-sci.org/intro/article_detail/eajam/12942.html KW - Collocation method KW - SSP-RK(2 KW - 2) KW - telegraph equation KW - tri-diagonal solver KW - unconditional stability AB -

A collocation method based on exponential B-splines for two-dimensional second-order non-linear hyperbolic equations is studied. The initial equation is split into a system of coupled equations, each of which is transformed into a system of ordinary differential equations. The corresponding differential equations are solved by SSP-RK(2,2) method. It is shown that the method under consideration is unconditionally stable. Numerical experiments demonstrate its efficiency and accuracy

Swarn Singh, Suruchi Singh & Rajni Arora. (2020). An Unconditionally Stable Numerical Method for Two-Dimensional Hyperbolic Equations. East Asian Journal on Applied Mathematics. 9 (1). 195-211. doi:10.4208/eajam.280118.100518
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