A computational scheme of exponential integrator for fuzzy electrical boundary layer flow with variable viscosity and thermal conductivity
This study aims to d an efficient computational scheme for solving partial differential equations involving fuzzy parameters in boundary layer flow. Specifically, we propose a modified exponential integrator method to handle the challenges of variable viscosity and thermal conductivity in flow over...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-01-01
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| Series: | International Journal of Thermofluids |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666202724004683 |
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| Summary: | This study aims to d an efficient computational scheme for solving partial differential equations involving fuzzy parameters in boundary layer flow. Specifically, we propose a modified exponential integrator method to handle the challenges of variable viscosity and thermal conductivity in flow over flat and oscillatory sheets. This work aims to enhance accuracy and stability in simulating fluid flows under uncertainty. The proposed explicit scheme operates on two-time levels with compact spatial discretization. The stability and convergence of the proposed scheme are also provided for scalar and system of partial differential equations. Results show that the scheme provides better accuracy than existing first- and second-order methods, especially for specific time steps. Additionally, the method effectively handles fuzzy Hartmann number, Eckert number, and reaction rate parameters, reflecting uncertainties in material properties. The proposed method significantly improves the precision of fluid simulations with complex parameters. |
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| ISSN: | 2666-2027 |