Fourth-order cubic B-spline collocation method for hyperbolic telegraph equation

In this article, a new method based on collocation of cubic B splines to find the numerical solution of one dimensional second-order hyperbolic partial differential equation subject to appropriate initial and boundary conditions has been proposed. The method is found to be high order accurate with c...

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Bibliographic Details
Published inMathematical sciences (Karaj, Iran) Vol. 16; no. 4; pp. 389 - 400
Main Authors Singh, Suruchi, Singh, Swarn, Aggarwal, Anu
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2022
Springer Nature B.V
Subjects
Applications of Mathematics
Boundary conditions
Collocation methods
Exact solutions
Experiments
Mathematics
Mathematics and Statistics
Methods
Ordinary differential equations
Original Research
Partial differential equations
Random walk theory
Stability analysis
Telegraphic equation
Collocation
Cubic B spline
High order
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Summary:In this article, a new method based on collocation of cubic B splines to find the numerical solution of one dimensional second-order hyperbolic partial differential equation subject to appropriate initial and boundary conditions has been proposed. The method is found to be high order accurate with compact support. Unconditional stability analysis of the proposed method has also been investigated. To justify the accuracy and efficacy of the proposed method, some numerical experiments are performed. The results obtained from the experiments are compared with the exact solution and the existing methods in literature.
Bibliography:ObjectType-Article-1
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ISSN:2008-1359
2251-7456
DOI:10.1007/s40096-021-00428-y