Open AccessSolution BBM-Burger Equation via Quartic Trigonometric B-spline Approach
Author(s) -
Hamad Salih
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1879/2/022109
Subject(s) - mathematics , quartic function , integration using euler's formula , mathematical analysis , trigonometric integral , differentiation of trigonometric functions , b spline , trigonometric functions , boundary value problem , quartic surface , interpolation (computer graphics) , dirichlet boundary condition , trigonometry , pure mathematics , geometry , linear interpolation , computer science , animation , computer graphics (images) , polynomial , bicubic interpolation
In the present work, the new quartic trigonometric B-spline approach based on finite difference scheme is described to solve the one dimensional non-linear equation of (Benjamin – Bona-Mahony-Burger). Dirichlet boundary with the help of applying the von-Neumann stability analysis is also used in this description. While the time derivative part is discretized by using the finite difference scheme. In the space dimension, the quartic trigonometric B-spline is also used as an interpolation function. The execution of this method which is used in the present work showed that the quartic trigonometric B-spline method is a more efficient and effective tool and gives better results according to the comparisons that are made with the precise solution for a different time and some other published numerical methods.