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Change in the form of fourth order two-point boundary value problem for solving by Adomian decomposition and homotopy perturbation methods | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 23، دوره 14، شماره 7، مهر 2023، صفحه 255-260 اصل مقاله (308.91 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27492.3639 | ||
| نویسندگان | ||
| Sayd Siavash Hosseini1؛ Azim Aminataei* 2؛ Fatemeh Kiany1؛ Mohsen Zahraei3؛ Mahmood Alizadeh1 | ||
| 1Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran | ||
| 2Faculty of Mathematics, K. N. Toosi University of Technology, P. O. Box: 16315-1618, Tehran, Iran | ||
| 3Department of mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran | ||
| تاریخ دریافت: 03 خرداد 1401، تاریخ بازنگری: 27 خرداد 1401، تاریخ پذیرش: 20 تیر 1401 | ||
| چکیده | ||
| In this paper, we convert the fourth-order differential equations with two-point boundary conditions into a differential equation with homogeneous boundary conditions. Because the decomposition methods are closely related to the McLaren series, the McLaren series has a higher accuracy for points close to zero. Then we use Adomian decomposition and homotopy perturbation methods to solve three linear and nonlinear experiments. | ||
| کلیدواژه‌ها | ||
| Boundary value problems؛ Homotopy perturbation method؛ Adomian decomposition method؛ Modification؛ Stability | ||
| مراجع | ||
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