NUMERICAL SOLUTION FOR NONLINEAR BURGERS’ EQUATION WITH SOURCE TERM

Main Article Content

Falade Kazeem Iyanda
Bello Kareem Akanbi
Nuru Muazu

Abstract

In this paper, we formulate a four step computational algorithm to solve nonlinear Burger’s equation with source terms whose occur in aerodynamics engineering which play a major roles in convection and diffusion whose present in viscous fluid flow engineering problems. Numerical assessment  was carried out to study effect of source term  which represents the heat released in the boundary layer. Increase the source  term and decrease in  kinematic viscosity which play a major roles in obtaing velocity . Eventually, we subject the nonlinear Burger’s equation with source terms to initial and boundary conditions available in the literature. The results revealed that the new algorithm is capable and realiable to solve similar nonlinear partial differential equations occur in applied physics and engineering.

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How to Cite
Iyanda, F. K. ., Akanbi, B. K. ., & Muazu, N. . (2021). NUMERICAL SOLUTION FOR NONLINEAR BURGERS’ EQUATION WITH SOURCE TERM. American International Journal of Sciences and Engineering Research, 4(1), 53–65. https://doi.org/10.46545/aijser.v4i1.232
Section
Original Articles/Review Articles/Case Reports/Short Communications
Author Biographies

Falade Kazeem Iyanda, Kano University of Science and Technology, Nigeria

Department of Mathematics

Faculty of Computing and Mathematical Sciences

Kano University of Science and Technology, Wudil, P.M.B 3244, Kano State, Nigeria

Bello Kareem Akanbi, University of Ilorin, Nigeria

Department of Mathematics

Faculty of Physical Sciences, University of Ilorin

P.M.B.1515, Ilorin, Kwara State, Nigeria

Nuru Muazu, Kano University of Science and Technology, Nigeria

Department of Mathematics

Faculty of Computing and Mathematical Sciences

Kano University of Science and Technology, Wudil, P.M.B 3244, Kano State, Nigeria

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