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NUMERICAL SOLUTION OF SECOND ORDER LINEAR HYPERBOLIC TELEGRAPH EQUATION
This paper is of about a numerical solution of the second order linear hyperbolic telegraph equation. To solve numerically the second order linear hyperbolic telegraph equation, the cubic B-spline collocation method is used in space discretization and the fourth order one-step method is used in time...
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| Published in: | TWMS journal of applied and engineering mathematics 2022-07, Vol.12 (3), p.919 |
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| Language: | English |
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| container_issue | 3 |
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| container_title | TWMS journal of applied and engineering mathematics |
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| creator | Kirli, E Irk, D Gorgulu, M. Zorsahin |
| description | This paper is of about a numerical solution of the second order linear hyperbolic telegraph equation. To solve numerically the second order linear hyperbolic telegraph equation, the cubic B-spline collocation method is used in space discretization and the fourth order one-step method is used in time discretization. By using the fourth order one-step method, it is aimed to obtain a numerical algorithm whose accuracy is higher than the current studies. The efficiency and accuracy of the proposed method is studied by two examples. The obtained results show that the proposed method has higher accuracy as intended. Keywords: Collocation method, cubic B-spline functions, one-step method, second order linear hyperbolic telegraph equation. AMS Subject Classification: 65M70, 35L20. |
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| identifier | ISSN: 2146-1147 |
| ispartof | TWMS journal of applied and engineering mathematics, 2022-07, Vol.12 (3), p.919 |
| issn | 2146-1147 2146-1147 |
| language | eng |
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| subjects | Accuracy Algorithms Approximation Collocation methods Discretization Mathematics Methods Numerical analysis Partial differential equations |
| title | NUMERICAL SOLUTION OF SECOND ORDER LINEAR HYPERBOLIC TELEGRAPH EQUATION |
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