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A numerical scheme for solving nonlinear parabolic partial differential equations with piecewise constant arguments | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 64، دوره 13، شماره 1، خرداد 2022، صفحه 783-789 اصل مقاله (2.28 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23741.2608 | ||
| نویسندگان | ||
| Mojgan Esmailzadeh* 1؛ Javad Alavi2؛ Hashem Saberi Najafi2 | ||
| 1Department of Applied Mathematics, Bandar Anzali Branch, Islamic Azad University, Bandar Anzali , Iran | ||
| 2Department of Applied Mathematics and Computer Science, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran | ||
| تاریخ دریافت: 04 تیر 1400، تاریخ بازنگری: 15 شهریور 1400، تاریخ پذیرش: 01 مهر 1400 | ||
| چکیده | ||
| This article deals with the nonlinear parabolic equation with piecewise continuous arguments (EPCA). This study, therefore, with the aid of the $\theta$ -methods, aims at presenting a numerical solution scheme for solving such types of equations which has applications in certain ecological studies. Moreover, the convergence and stability of our proposed numerical method are investigated. Finally, to support and confirm our theoretical results, some numerical examples are also presented. | ||
| کلیدواژه‌ها | ||
| Partial differential equation with piecewise constant arguments (EPCA)؛ $theta$-methods؛ Convergence؛ Trust-region-dogleg method | ||
| مراجع | ||
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