Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2020 / Cilt: 10 - Sayı: 1

Analytical and approximate solution of two-dimensional convection-diffusion problems

Pages
73–77
Publication Date
2022-10-11
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Examples are provided to supportour work.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, we have used reduced differential transform method (RDTM)to compute an approximate solution of the Two-Dimensional Convection-Diffusion equations (TDCDE).
📊
Key Findings & Data:This method provides the solution quickly inthe form of a convergent series.
💡
Conclusion & Impact:Examples are provided to supportour work.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this work, we have used reduced differential transform method (RDTM)to compute an approximate solution of the Two-Dimensional Convection-Diffusion equations (TDCDE). This method provides the solution quickly inthe form of a convergent series. Also, by using RDTM the approximate so-lution of two-dimensional convection-diffusion equation is obtained. Further,we have computed exact solution of non-homogeneous CDE by using the samemethod. To the best of my knowledge, the research work carried out in thepresent paper has not been done, and is new. Examples are provided to supportour work.

🔖

Cite This Article

GÜNERHAN, H. (2022). Analytical and approximate solution of two-dimensional convection-diffusion problems. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 10 - Sayı: 1, 73–77. https://ajindex.com/articles/440582

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (14)

  1. Baskonus, H.M. (2019). Complex Soliton Solutions to the Gilson-Pickering Model. Axioms, 8(1), 18
  2. Ilhan, O.A., Esen, A., Bulut, H., & Baskonus, H.M. (2019). Singular Solitons in the Pseudoparabolic Model Arising in Nonlinear Surface Waves. Results in Physics, 12, 17121715
  3. Cattani, C., Sulaiman, T.A., Baskonus, H.M., & Bulut, H. (2018). Solitons in an inhomogeneous Murnaghan’s rod. European Physical Journal Plus, 133(228), 1-12
  4. Baskonus, H.M., Sulaiman, T.A. & Bulut, H. (2018). Dark, bright and other optical solitons to the decoupled nonlinear Schrdinger equation arising in dual-core optical fibers. Optical and Quantum Electronics, 50(4), 1-12
  5. Ciancio, A., Baskonus, H.M., Sulaiman, T.A., & Bulut, H. (2018). New Structural Dynamics of Isolated Waves Via the Coupled Nonlinear Maccari’s System with Complex Structure. Indian Journal of Physics, 92(10), 12811290
  6. Ilhan, O.A., Sulaiman, T.A., Bulut, H., & Baskonus, H.M. (2018). On the New Wave Solutions to a Nonlinear Model Arising in Plasma Physics. European Physical Journal Plus, 133(27), 1-6
  7. Yel, G., Baskonus, H.M., & Bulut, H. (2017). Novel archetypes of new coupled KonnoOono equation by using sineGordon expansion method. Optical and Quantum Electronics, 49(285), 1-10
  8. Baskonus, H.M. (2017). New Complex and Hyperbolic Function Solutions to the Generalized Double Combined Sinh-Cosh-Gordon Equation. AIP Conference Proceedings. 1798, 1-9 (020018)
  9. Baskonus, H.M. (2016). New acoustic wave behaviors to the DaveyStewartson equation with power-law nonlinearity arising in fluid Dynamics. Nonlinear Dynamics, 86(1), 177183
  10. Karaa, S., & Zhang, J. (2004). Higher order ADI method for solving unsteady convectiondiffusion problems. Journal of Computational Physics, 198, 1-9
  11. Tian, Z. (2011). A rational high-order compact ADI method for unsteady convectiondiffusion equations. Computer Physics Communications, 182, 649-662
  12. Rui, H. (2003). An alternative direction iterative method with second-order upwind scheme for convection-diffusion equations. International Journal of Computer Mathematics, 80(4), 527-533
  13. Mekuria, G.T., & Rao, J.A. (2016). Adaptive finite element method for steady convectiondiffusion equation. American Journal of Computational Mathematics, 6(3), 275-285
  14. Li, L., Jiang, Z., & Yin, Z. (2018). Fourthorder compact finite difference method for solving two-dimensional convection-diffusion equation. Advances in Difference Equations, 2018, 1-24. [15