Exact Solution of Couple Burgers’ Equation using Cubic B-Spline Collocation Method for Fluid Suspension/Colloid under the Influence of Gravity

Main Article Content

M. Jemimah
M. Alpha
Abubakar Alkasim

Abstract

In this research, Cubic B-Spline plane method was used to solve numerically the one-dimensional Burger’s Equation with initial condition , boundary conditions;   . The cubic trigonometric B-spline was used for interpolating the solutions at each time and using the Von-Neumann method to check the stability. The obtained numerical result showed that the method was efficient, robust and reliable for solving Burgers’ Equation accurately even involving high Reynolds numbers for which the exact solutions have failed.

Keywords: Cubic B-Spline, Burger’s Equation, Fluid Suspension, Gravity

Article Details

Exact Solution of Couple Burgers’ Equation using Cubic B-Spline Collocation Method for Fluid Suspension/Colloid under the Influence of Gravity. (2024). African Journal of Advances in Science and Technology Research, 14(1), 73-85. https://doi.org/10.62154/ymthy538
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Copyright (c) 2024 M. Jemimah, M. Alpha, Abubakar Alkasim (Author)

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This work is licensed under a Creative Commons Attribution 4.0 International License.

M. Jemimah, Kaduna State University, Kaduna, Nigeria.

Department of Mathematics,

Kaduna State University, Kaduna, Nigeria.

M. Alpha, Nigerian Army University Biu, Borno, Nigeria.

Department of Physics,

Nigerian Army University Biu, Borno, Nigeria.

Abubakar Alkasim, Modibbo Adama University Yola, Nigeria.

Department of Physics,

Modibbo Adama University Yola, Nigeria.