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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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | International Journal of Thermofluids |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666202724004683 |
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| author | Muhammad Shoaib Arif Kamaleldin Abodayeh Yasir Nawaz |
| author_facet | Muhammad Shoaib Arif Kamaleldin Abodayeh Yasir Nawaz |
| author_sort | Muhammad Shoaib Arif |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-37810866c1894bfe899b01bf4596e5da |
| institution | Kabale University |
| issn | 2666-2027 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | International Journal of Thermofluids |
| spelling | doaj-art-37810866c1894bfe899b01bf4596e5da2025-01-08T04:53:40ZengElsevierInternational Journal of Thermofluids2666-20272025-01-0125101029A computational scheme of exponential integrator for fuzzy electrical boundary layer flow with variable viscosity and thermal conductivityMuhammad Shoaib Arif0Kamaleldin Abodayeh1Yasir Nawaz2Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia; Department of Mathematics, Air University, PAF Complex E-9, Islamabad, 44000, Pakistan; Corresponding author.Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh, 11586, Saudi ArabiaDepartment of Mathematics, Air University, PAF Complex E-9, Islamabad, 44000, PakistanThis 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.http://www.sciencedirect.com/science/article/pii/S2666202724004683Exponential integratorStabilityConvergenceFluid with variable viscosityFuzzy parametersCompact spatial discretization |
| spellingShingle | Muhammad Shoaib Arif Kamaleldin Abodayeh Yasir Nawaz A computational scheme of exponential integrator for fuzzy electrical boundary layer flow with variable viscosity and thermal conductivity International Journal of Thermofluids Exponential integrator Stability Convergence Fluid with variable viscosity Fuzzy parameters Compact spatial discretization |
| title | A computational scheme of exponential integrator for fuzzy electrical boundary layer flow with variable viscosity and thermal conductivity |
| title_full | A computational scheme of exponential integrator for fuzzy electrical boundary layer flow with variable viscosity and thermal conductivity |
| title_fullStr | A computational scheme of exponential integrator for fuzzy electrical boundary layer flow with variable viscosity and thermal conductivity |
| title_full_unstemmed | A computational scheme of exponential integrator for fuzzy electrical boundary layer flow with variable viscosity and thermal conductivity |
| title_short | A computational scheme of exponential integrator for fuzzy electrical boundary layer flow with variable viscosity and thermal conductivity |
| title_sort | computational scheme of exponential integrator for fuzzy electrical boundary layer flow with variable viscosity and thermal conductivity |
| topic | Exponential integrator Stability Convergence Fluid with variable viscosity Fuzzy parameters Compact spatial discretization |
| url | http://www.sciencedirect.com/science/article/pii/S2666202724004683 |
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