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A numerical scheme for diffusion-convection equation with piecewise constant arguments | ||
| Computational Methods for Differential Equations | ||
| مقاله 13، دوره 8، شماره 3، آبان 2020، صفحه 573-584 اصل مقاله (2.1 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.31155.1468 | ||
| نویسندگان | ||
| Mojgan Esmaeilzadeh1؛ Hashem Saberi Najafi* 1؛ Hossein Aminikhah2 | ||
| 1Department of Applied Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran. | ||
| 2Faculty of Mathematical Sciences, Department of Applied Mathematics and Computer Science, University of Guilan, Rasht, Iran. | ||
| چکیده | ||
| This article is concerned with using a finite difference method, namely the theta-methods, to solve the diffusion-convection equation with piecewise constant arguments.The stability of this scheme is also obtained. Since there are not many published results on the numerical solution of this sort of differential equation and because of the importance of the above equation in the physics and engineering sciences, we have decided to study and present a stable numerical solution for the above mentioned problem. At the end of article some experiments are done to demonstrate the stability of the scheme. We also draw the figures for the numerical and analytical solutions which confirm ou results.The numerical solutions have also been compared with analytical solutions. | ||
| کلیدواژهها | ||
| Diffusion-Convection equation؛ piecewise constant arguments؛ theta-methods؛ asymptotically stability | ||
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آمار تعداد مشاهده مقاله: 738 تعداد دریافت فایل اصل مقاله: 663 |
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