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Reproducing kernel method to solve a class of variable delay integro-differential equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 16 اردیبهشت 1404 اصل مقاله (990 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.24718.2806 | ||
| نویسندگان | ||
| Tofigh Allahviranloo* 1؛ Saeid Abbasbandy2؛ Hussein Sahihi1 | ||
| 1Research Center of Performance and Productivity Analysis, Istinye University, Istanbul, Turkey | ||
| 2Department of Applied Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran | ||
| تاریخ دریافت: 08 مهر 1400، تاریخ بازنگری: 12 دی 1400، تاریخ پذیرش: 18 دی 1400 | ||
| چکیده | ||
| This paper deals with an efficient method to solve Variable Delay Integro-Differential Equations (VDIDEs). We use a different implementation of the general form of the Reproducing Kernel Method (RKM). We seek to apply RKM without using the orthogonalization process. The main purpose of this technique for the VDIDE is to implement it in large intervals so that an appropriate approximate solution can be obtained and also a valid error analysis can be provided. This method significantly increases the accuracy of approximate solutions in small intervals. The accuracy of theoretical results is also illustrated by solving two numerical examples. | ||
| کلیدواژهها | ||
| Integro-Differential Equations؛ Delay differential equation؛ Initial value problem؛ Reproducing kernel method؛ Error analysis | ||
| مراجع | ||
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