Reproducing kernel method to solve a class of variable delay integro-differential equations
نویسندگان
1 Research Center of Performance and Productivity Analysis, Istinye University, Istanbul, Turkey
2 Research Center of Performance and Productivity Analysis, Istinye University, Istanbul, Turkey.
3 Department of Applied Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
doi
10.22075/ijnaa.2022.24718.2806چکیده
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.
