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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 7 | Year 2019 | Article Id. IJMTT-V65I7P525 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I7P525

Stability Analysis of Three Dimensional Advection-Diffusion Equation with a Mixed Derivative


George Ochieng Ogongo, OduorOkoya M. E, Omolo Ongati
Abstract

The paper studies stability analysis for (3+1) Dimensional Advection-Diffusion equation with a mixed derivative using the method of Von-Neuman. Taylor series expansion has been used to generate the Alternating Direction Explicit scheme (ADE) and Alternating Direction Implicit scheme (ADI) and the schemes have been found to be unconditionally stable.

Keywords
(3+1) Dimensional Advection Diffusion Equation, Partial Differential Equations (PDE’S), Alternating Direction Explicit (ADE) scheme, Alternating Direction Implicit (ADI) scheme,Amplification factor.
References

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Citation :

George Ochieng Ogongo, OduorOkoya M. E, Omolo Ongati, "Stability Analysis of Three Dimensional Advection-Diffusion Equation with a Mixed Derivative," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 7, pp. 200-205, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I7P525

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