A new method for solving three-dimensional nonlinear Fredholm integral equations by Haar wavelet | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 10، دوره 12، شماره 2، بهمن 2021، صفحه 115-133 اصل مقاله (464.64 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.20860.2207 | ||
| نویسندگان | ||
| Manochehr Kazemi* 1؛ Vali Torkashvand2؛ Reza Ezzati3 | ||
| 1Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran | ||
| 2Department of Mathematics, Farhangian University, Tehran, Iran. Member of Young Researchers and Elite club Shahr-e-Qods, Branch Islamic Azad University, Tehran, Iran | ||
| 3Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran | ||
| چکیده | ||
| In this paper, a new iterative method of successive approximations based on Haar wavelets is proposed for solving three-dimensional nonlinear Fredholm integral equations. The convergence of the method is verified. The error estimation and numerical stability of the proposed method are provided in terms of Lipschitz condition. Conducting numerical experiments confirm the theoretical results of the proposed method and endorse the accuracy of the method. | ||
| کلیدواژهها | ||
| Three-dimensional integral equations؛ Three-dimensional Haar wavelet؛ Lipschitz condition؛ Successive approximations | ||
| مراجع | ||
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