International Journal of Nonlinear Analysis and Applications

Reproducing kernel method to solve a class of variable delay integro-differential equations

Articles in Press

Document Type : Research Paper

Authors

1 Research Center of Performance and Productivity Analysis, Istinye University, Istanbul, Turkey

2 Department of Applied Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran

Abstract

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.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Accepted Manuscript
Available Online from 06 May 2025
  • Receive Date: 30 September 2021
  • Revise Date: 02 January 2022
  • Accept Date: 08 January 2022