Forward Time Centered Space Scheme for the Solution of Transport Equation

Authors

  • Jawdat Akeel Mohammad Alebraheem College of Science, Majmaah University

DOI:

https://doi.org/10.21467/ias.2.1.1-5

Abstract

Transport phenomenon is central for understanding many procedures in numerous sciences, transport phenomena can be described by the partial differential equation. Forward Time Centered Space scheme give ample numerical solutions of the transport equation.  In this paper, we apply Forward Time Centered Space scheme to solve a non-trivial transport problem using different step sizes of time (t) and space (x). We use MATLAB software to get the numerical results. The numerical simulation presents that the FTCS scheme is more stable and closer to the exact solution when we decrease step sizes of t, x and  more and more.

Keywords:

Transport Equation;, Forward Time Centered Space scheme, numerical simulations

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Author Biography

Jawdat Akeel Mohammad Alebraheem, College of Science, Majmaah University

Department of Mathematics
Assistant Professor

References

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Published

2017-04-09

Issue

Section

Research Article

How to Cite

[1]
J. A. M. Alebraheem, “Forward Time Centered Space Scheme for the Solution of Transport Equation”, Int. Ann. Sci., vol. 2, no. 1, pp. 1–5, Apr. 2017.