2024 : 11 : 22
Amjad Alipanah

Amjad Alipanah

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId: 16549281500
HIndex:
Faculty: Faculty of Science
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Phone:

Research

Title
On solving some stochastic delay differential equations by Daubechies wavelet
Type
JournalPaper
Keywords
Stochastic delay differential equations,scaling function, Daubechies wavelet, collocation method, convergence
Year
2024
Journal Journal of Statistical Computation and Simulation
DOI
Researchers Nasim Madah Shariati ، Mohammadreza Yaghouti ، Amjad Alipanah

Abstract

There are numerous phenomena in real world that their practical modeling in mathematics language deals with differential equations. Stochastic terms have significant roles in estimating behavior of these events such as machine tool vibrations, biology, traffic dynamics, neural networks and so on, it cannot be reasonable to consider an event without its past information, and it ends up with equations including time delays. The numerical solution of stochastic delay differential equations has always been of interest to researchers. In this paper, by using scaling function of the Daubechies wavelet, a collocation method is presented to solve a class of stochastic delay differential equations and it is tried to demonstrate the advantages of using this type of wavelet. Convergence of the method is provided and numerical experiments are reported to show application of the method in practice.