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Haar Wavelet Method for Solving High-Order Differential Equations with Multi-Point Boundary Conditions | ||
| Journal of Applied and Computational Mechanics | ||
| مقاله 34، دوره 8، شماره 2، تیر 2022، صفحه 528-544 اصل مقاله (736.24 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22055/jacm.2020.31860.1935 | ||
| نویسندگان | ||
| Mohammad Heydari1؛ Zakieh Avazzadeh* 2؛ Narges Hosseinzadeh3 | ||
| 1Department of Mathematics, Yazd University, Yazd, Iran | ||
| 2Laboratory for Intelligent Computing and Financial Technology, Department of Mathematical Science, Xi’an Jiaotong-Liverpool University, Suzhou 215123, Jiangsu, China | ||
| 3University of Applied Science and Technology (UAST), Ghand Center, Karaj, Iran | ||
| چکیده | ||
| In This paper, the developed Haar wavelet method for solving boundary value problems is described. As known, the orthogonal Haar basis functions are applied widely for solving initial value problems, but In this study, the method for solving systems of ODEs associated with multipoint boundary conditions is generalized in separated or non-separated forms. In this technique, a system of high-order boundary value problems of ordinary differential equations is reduced to a system of algebraic equations. The experimental results confirm the computational efficiency and simplicity of the proposed method. Also, the implementation of the method for solving the systems arising in the real world for phenomena in fluid mechanics and construction engineering approves the applicability of the approach for a variety of problems. | ||
| کلیدواژهها | ||
| High-order differential equations؛ Separated and non-separated boundary conditions؛ Haar wavelets؛ Multi-point boundary value problems | ||
| مراجع | ||
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