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
Solving calculus of variation problems via multiquadric radial basis function method with optimal shape parameter
Type
JournalPaper
Keywords
Brachistochrone problem; calculus of variation; error analysis; multiquadric radial basis function; numerical results; RBF
Year
2022
Journal INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
DOI
Researchers Amjad Alipanah ، Azad Kasnazani

Abstract

n this paper we present callocation method for solving the problems in the calculus of variation (CV) using multiquadratic radial basis functions (MQRBFs). In this method we use the Gauss quadrature rule for approximating the integral in CV problems. The effects of the shape parameter of MQRBFs on the convergence of the method have been discussed. Illustrative examples are included to evaluate the capability of the proposed method.