Izadi, Farnoosh, Saberi Najafi, Hashem, Refahi Sheikhani, Amir Hosein. (1400). Numerical solutions of nonlinear Burgers‒Huxley equation through the Richtmyer type nonstandard finite difference method. هنرهای کاربردی, 13(1), 1507-1518. doi: 10.22075/ijnaa.2021.25004.2878
Farnoosh Izadi; Hashem Saberi Najafi; Amir Hosein Refahi Sheikhani. "Numerical solutions of nonlinear Burgers‒Huxley equation through the Richtmyer type nonstandard finite difference method". هنرهای کاربردی, 13, 1, 1400, 1507-1518. doi: 10.22075/ijnaa.2021.25004.2878
Izadi, Farnoosh, Saberi Najafi, Hashem, Refahi Sheikhani, Amir Hosein. (1400). 'Numerical solutions of nonlinear Burgers‒Huxley equation through the Richtmyer type nonstandard finite difference method', هنرهای کاربردی, 13(1), pp. 1507-1518. doi: 10.22075/ijnaa.2021.25004.2878
Izadi, Farnoosh, Saberi Najafi, Hashem, Refahi Sheikhani, Amir Hosein. Numerical solutions of nonlinear Burgers‒Huxley equation through the Richtmyer type nonstandard finite difference method. هنرهای کاربردی, 1400; 13(1): 1507-1518. doi: 10.22075/ijnaa.2021.25004.2878

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.
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
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