A Meshless Method for Numerical Solutions of Non-Homogeneous Differential Equation with Variable Delays

Document Type : Research Articles

Authors

1 Faculty of Industry and Mining (Khash), University of Sistan and Baluchestan, Zahedan, Iran

2 Department of Mathematics, Faculty of Sciences, University of Gonabad, Gonabad, Iran.

Abstract

This paper is devoted to solve a class of differential equation with simultaneously combining variable coeffcients and variable delays namely variable-delay di erential equations (VDDEs). For this purpose, a numerical method is proposed in which the unknown function and its derivative are approximated with the basis of interpolating Multiquadric radial basis functions (MQRBFs) at arbitrary collocation points. According to the existing mechanism, the synchronization problem is recast to a system of algebraic equations. In the other hand, the proposed method provides a very adjustable framework for approximation according to the discretization and due to a board range of arbitrary nodes. Finally, some illustrative examples are given to verify the validity and applicability of the new technique and also a comparison between
our results and the existing studies is performed.

Keywords

Caspian Journal of Mathematical Sciences
Volume 10, Issue 2 - Serial Number 2
December 2021
Pages 254-268

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