首页|Solving calculus of variation problems via multiquadric radial basis function method with optimal shape parameter

Solving calculus of variation problems via multiquadric radial basis function method with optimal shape parameter

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In 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.

Brachistochrone problemcalculus of variationerror analysismultiquadric radial basis functionnumerical resultsRBFDATA APPROXIMATION SCHEMEINTERPOLATIONEQUATIONS

Kasnazani, Azad、Alipanah, Amjad

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Univ Kurdistan

2022

International journal of nonlinear sciences and numerical simulation

International journal of nonlinear sciences and numerical simulation

SCI
ISSN:1565-1339
年,卷(期):2022.23(2)
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