A collocation method for numerical solution of Telegraph equation
In this paper, B-spline collocation method is developed for the solution of one-dimensional hyperbolic telegraph equation. The convergence of the method is proved. Also the method is applied on some test examples, and the numerical results have been compared with the analytical solutions. The $L_\in...
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| creator | Zarebnia, M Parvaz, R |
| description | In this paper, B-spline collocation method is developed for the solution of
one-dimensional hyperbolic telegraph equation. The convergence of the method is
proved. Also the method is applied on some test examples, and the numerical
results have been compared with the analytical solutions. The $L_\infty$,$L_2$
and Root-Mean-Square errors (RMS) in the solutions show the efficiency of the
method computationally. |
| doi_str_mv | 10.48550/arxiv.1707.02721 |
| format | Article |
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one-dimensional hyperbolic telegraph equation. The convergence of the method is
proved. Also the method is applied on some test examples, and the numerical
results have been compared with the analytical solutions. The $L_\infty$,$L_2$
and Root-Mean-Square errors (RMS) in the solutions show the efficiency of the
method computationally.</description><identifier>DOI: 10.48550/arxiv.1707.02721</identifier><language>eng</language><subject>Mathematics - Numerical Analysis</subject><creationdate>2017-07</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1707.02721$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1707.02721$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Zarebnia, M</creatorcontrib><creatorcontrib>Parvaz, R</creatorcontrib><title>A collocation method for numerical solution of Telegraph equation</title><description>In this paper, B-spline collocation method is developed for the solution of
one-dimensional hyperbolic telegraph equation. The convergence of the method is
proved. Also the method is applied on some test examples, and the numerical
results have been compared with the analytical solutions. The $L_\infty$,$L_2$
and Root-Mean-Square errors (RMS) in the solutions show the efficiency of the
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one-dimensional hyperbolic telegraph equation. The convergence of the method is
proved. Also the method is applied on some test examples, and the numerical
results have been compared with the analytical solutions. The $L_\infty$,$L_2$
and Root-Mean-Square errors (RMS) in the solutions show the efficiency of the
method computationally.</abstract><doi>10.48550/arxiv.1707.02721</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Numerical Analysis |
| title | A collocation method for numerical solution of Telegraph equation |
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