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Rasekhinezhad, Hajar, Abbasbandy, Saeid, Allahviranloo, Tofigh, Babolian, Esmail. (1405). A reproducing kernel method for solving nonlocal functional differential equations with delayed or advanced arguments. سامانه مدیریت نشریات علمی, 14(1), 1-13. doi: 10.22034/cmde.2025.63743.2850
Hajar Rasekhinezhad; Saeid Abbasbandy; Tofigh Allahviranloo; Esmail Babolian. "A reproducing kernel method for solving nonlocal functional differential equations with delayed or advanced arguments". سامانه مدیریت نشریات علمی, 14, 1, 1405, 1-13. doi: 10.22034/cmde.2025.63743.2850
Rasekhinezhad, Hajar, Abbasbandy, Saeid, Allahviranloo, Tofigh, Babolian, Esmail. (1405). 'A reproducing kernel method for solving nonlocal functional differential equations with delayed or advanced arguments', سامانه مدیریت نشریات علمی, 14(1), pp. 1-13. doi: 10.22034/cmde.2025.63743.2850
Rasekhinezhad, Hajar, Abbasbandy, Saeid, Allahviranloo, Tofigh, Babolian, Esmail. A reproducing kernel method for solving nonlocal functional differential equations with delayed or advanced arguments. سامانه مدیریت نشریات علمی, 1405; 14(1): 1-13. doi: 10.22034/cmde.2025.63743.2850

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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