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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Bibliographic Details
Published in:TWMS journal of applied and engineering mathematics 2022-07, Vol.12 (3), p.919
Main Authors: Kirli, E, Irk, D, Gorgulu, M. Zorsahin
Format: Article
Language:English
Subjects:
Accuracy
Algorithms
Approximation
Collocation methods
Discretization
Mathematics
Methods
Numerical analysis
Partial differential equations
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Summary: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.
ISSN:2146-1147
2146-1147