This paper is published in Volume-8, Issue-3, 2022
Area
Numerical Analysis
Author
Rajashekhar Reddy
Org/Univ
Jawaharlal Nehru Technological University, Hyderabad, Telangana, India
Keywords
One Dimensional Heat Equation, B-Spline, Collocation Method, Forward Difference Scheme
Citations
IEEE
Rajashekhar Reddy. Numerical solution to the one-dimensional heat equation by using a recursive form of cubic B-spline collocation method, International Journal of Advance Research, Ideas and Innovations in Technology, www.IJARIIT.com.
APA
Rajashekhar Reddy (2022). Numerical solution to the one-dimensional heat equation by using a recursive form of cubic B-spline collocation method. International Journal of Advance Research, Ideas and Innovations in Technology, 8(3) www.IJARIIT.com.
MLA
Rajashekhar Reddy. "Numerical solution to the one-dimensional heat equation by using a recursive form of cubic B-spline collocation method." International Journal of Advance Research, Ideas and Innovations in Technology 8.3 (2022). www.IJARIIT.com.
Rajashekhar Reddy. Numerical solution to the one-dimensional heat equation by using a recursive form of cubic B-spline collocation method, International Journal of Advance Research, Ideas and Innovations in Technology, www.IJARIIT.com.
APA
Rajashekhar Reddy (2022). Numerical solution to the one-dimensional heat equation by using a recursive form of cubic B-spline collocation method. International Journal of Advance Research, Ideas and Innovations in Technology, 8(3) www.IJARIIT.com.
MLA
Rajashekhar Reddy. "Numerical solution to the one-dimensional heat equation by using a recursive form of cubic B-spline collocation method." International Journal of Advance Research, Ideas and Innovations in Technology 8.3 (2022). www.IJARIIT.com.
Abstract
In this paper, a recursive form of the quadratic B-spline Collocation method is proposed for calculating the numerical solution of one-dimensional heat equation. The recursive form of B-spline is used for the spatial coordinates whereas the forward difference scheme is applied for the time derivative. The performance of the method is tested at different time levels. The numerical result shows that the present method is a successful numerical technique to find solutions to time-dependent problems.
