A reproducing kernel method for solving nonlocal functional differential equations with delayed or advanced arguments

Rasekhinezhad, Hajar; Abbasbandy, Saeid; Allahviranloo, Tofigh; Babolian, Esmail

doi:10.22034/cmde.2025.63743.2850

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	A reproducing kernel method for solving nonlocal functional differential equations with delayed or advanced arguments
Computational Methods for Differential Equations
مقاله 1، دوره 14، شماره 1، فروردین 2026، صفحه 1-13 اصل مقاله (665.92 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.63743.2850
نویسندگان
Hajar Rasekhinezhad¹؛ Saeid Abbasbandy^* ²؛ Tofigh Allahviranloo³؛ Esmail Babolian⁴
¹Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
²Department of Applied Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
³Faculty of Engineering and Natural Sciences, Istinye University, Istanbul, Turkey.
⁴Department of Computer Science, Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran.
چکیده
This paper discusses an effective approach for solving non-local functional differential equations with delayed or advanced arguments. The reproducing kernel method is utilized to avoid the need for an orthogonalization process. The main objective of this technique is to successfully apply this method to solve singular multi-point boundary value problems with non-local conditions, resulting in an accurate approximate solution and a valid error analysis. This method greatly improves the accuracy of the solutions obtained.
کلیدواژه‌ها
Reproducing kernel method؛ Functional differential equation؛ Non-local conditions؛ Error analysis

مراجع
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A reproducing kernel method for solving nonlocal functional differential equations with delayed or advanced arguments