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Numerical solutions of nonlinear Burgers‒Huxley equation through the Richtmyer type nonstandard finite difference method | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 124، دوره 13، شماره 1، خرداد 2022، صفحه 1507-1518 اصل مقاله (723.56 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.25004.2878 | ||
| نویسندگان | ||
| Farnoosh Izadi1؛ Hashem Saberi Najafi* 2؛ Amir Hosein Refahi Sheikhani3 | ||
| 1Department of Applied Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran | ||
| 2Department of applied mathematics, Faculty of mathematical sciences, Lahijan branch, Islamic Azad University, Lahijan, Iran | ||
| 3Department of Applied Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran. | ||
| تاریخ دریافت: 02 شهریور 1400، تاریخ بازنگری: 27 مهر 1400، تاریخ پذیرش: 06 آبان 1400 | ||
| چکیده | ||
| The Burger‒Huxley equation as a well-known nonlinear physical model is studied numerically in the present paper. In this respect, the nonstandard finite difference (NSFD) scheme in company with the Richtmyer’s (3, 1, 1) implicit formula is formally adopted to accomplish this goal. Moreover, the stability, convergence, and consistency analyses of nonstandard finite difference schemes are investigated systematically. Several case studies with comparisons are provided, confirming that the current numerical scheme is capable of resulting in highly accurate approximations. | ||
| کلیدواژهها | ||
| Burger‒Huxley equation؛ Nonstandard finite difference scheme؛ Richtmyer’s (3, 1, 1) implicit formula | ||
| مراجع | ||
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