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

• Published in: Mathematical sciences (Karaj, Iran) Vol. 16; no. 4; pp. 389 - 400
• Main Authors: Singh, Suruchi, Singh, Swarn, Aggarwal, Anu
• Format: Journal Article
• Language: English
• 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
• ISSN: 2008-1359; 2251-7456
• DOI: 10.1007/s40096-021-00428-y

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...