2024 : 11 : 21
Amjad Alipanah

Amjad Alipanah

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

Research

Title
A convergent wavelet-based method for solving linear stochastic differential equations included 1D and 2D noise
Type
JournalPaper
Keywords
Stochastic differentialequation; scaling function;Daubechies wavelet;collocation method;convergence
Year
2023
Journal JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION
DOI
Researchers Nasim Madah Shariati ، Mohammadreza Yaghouti ، Amjad Alipanah

Abstract

In this paper, we present a Collocation method based on scalingfunction of Daubechies Wavelet(CDW) to solve linear stochastic dif-ferential equations with one and two dimensional noise. By applyingthis method, the problem transforms to a linear system of alge-braic equations with coefficients of expansion as unknowns. Due tointeresting properties of the Daubechies wavelet such as orthogo-nality, compactly support and vanishing moments, the coefficientsof expansion are obtained fast. The convergence of the proposedmethod is presented. To verify the accuracy and efficiency of theproposed method some numerical examples are provided.