2024 : 11 : 21
Allah Bakhsh Yazdani Cherati

Allah Bakhsh Yazdani Cherati

Academic rank: Associate Professor
ORCID: 0000-0002-3352-5829
Education: PhD.
ScopusId: 57189309801
HIndex:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 01135302471

Research

Title
Numerical Solution of the Lane-Emden Equations with Moving Least Squares Method
Type
JournalPaper
Keywords
Lane-Emden equations; Volterra integral equation; Moving least squares method
Year
2019
Journal Applications and Applied Mathematics-An International Journal
DOI
Researchers Sasan Asadpour Galugahi ، Hassan Hosseinzadeh ، Allah Bakhsh Yazdani Cherati

Abstract

In the present paper, we have used moving least squares (MLS) method to solve the integral form of the Lane-Emden equations with initial conditions. The Volterra integral form of the Lane-Emden equations overcomes their singular behavior at x = 0, and the MLS method leads to a satisfactory solution for the equation. The convergence of the method is investigated and finally its applicability is displayed through numerical examples.