التفاصيل البيبلوغرافية
| العنوان: |
A family of quasi-variable meshes high-resolution compact operator scheme for Burger's-Huxley, and Burger's-Fisher equation |
| المؤلفون: |
Navnit Jha, Madhav Wagley |
| المصدر: |
Mathematics in Applied Sciences and Engineering, Vol 1, Iss 4, Pp 286-308 (2020) |
| بيانات النشر: |
Western Libraries, 2020. |
| سنة النشر: |
2020 |
| المجموعة: |
LCC:Applied mathematics. Quantitative methods |
| مصطلحات موضوعية: |
compact scheme, quasi-variable mesh, generalized burgers-huxley equation, generalized burgers-fisher equation, ilkovič’s equation, stability, maximum-absolute-errors, Applied mathematics. Quantitative methods, T57-57.97 |
| الوصف: |
We describe a quasi-variable meshes implicit compact finite-difference discretization having an accuracy of order four in the spatial direction and second-order in the temporal direction for obtaining numerical solution values of generalized Burger’s-Huxley and Burger’s-Fisher equations. The new difference scheme is derived for a general one-dimension quasi-linear parabolic partial differential equation on a quasi-variable meshes network to the extent that the magnitude of local truncation error of the high-order compact scheme remains unchanged in case of uniform meshes network. Practically, quasi-variable meshes high-order compact schemes yield more precise solution compared with uniform meshes high-order schemes of the same magnitude. A detailed exposition of the new scheme has been introduced and discussed the Fourier analysis based stability theory. The computational results with generalized Burger’s-Huxley equation and Burger’s-Fisher equation are obtained using quasi-variable meshes high-order compact scheme and compared with a numerical solution using uniform meshes high-order schemes to demonstrate capability and accuracy. |
| نوع الوثيقة: |
article |
| وصف الملف: |
electronic resource |
| اللغة: |
English |
| تدمد: |
2563-1926 |
| Relation: |
https://ojs.lib.uwo.ca/index.php/mase/article/view/10837; https://doaj.org/toc/2563-1926 |
| DOI: |
10.5206/mase/10837 |
| URL الوصول: |
https://doaj.org/article/0dee6f7c10a8469082038b33dac20533 |
| رقم الانضمام: |
edsdoj.0dee6f7c10a8469082038b33dac20533 |
| قاعدة البيانات: |
Directory of Open Access Journals |