Mohammad Ghani, Tri Utomo, Yolanda Norasia, Denis Sospeter Mukama
Being motivated by the previous studies, we consider the concentration, the natural convection of fluid flow, and the inclination angle in this paper where the mathematical model is solved numerically by using the Crank-Nicolson scheme. At the first stage, the finite difference approximation are applied into the non-dimensional governing equations. As we know that the implicit finite difference method cannot be iterated directly, we need the strategy by taking an iteration through the Thomas algorithm, where this algorithm can be applied to solve the tri-diagonal matrices iteratively. Using the software, we further provide the simulations of velocity, temperature, and concentration profiles of fluid flow over an inclined flat plate based on the results of finitedifference approximations to non-dimensional governing equations. Finally, we use the general term of Fourier expansion to establish the stability of the finite difference scheme. © 2023, IAENG International Journal of Computer Science. All Rights Reserved.
Technology of Data Science, Faculty of Advanced Technology and Multidiscipline, Universitas Airlangga, Indonesia; Department of Mathematics, Institut Teknologi Sumatera, Indonesia; Department of Mathematics, UIN Walisongo, Indonesia; Salaam University College of Education, University of Dar es Salaam, Tanzania
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