Results 11 to 20 of about 44 (41)
Computer Assisted Methods in Engineering and Science, 2017 In this paper, a comparison between the improved element-free Galerkin (IEFG) method, based on the improved moving least square (IMLS) approximation, and the element-free Galerkin (EFG) method, based on the moving least square (MLS) approximation, is ...
Imen Debbabi +2 more
doaj +1 more source
Mathematical Problems in Engineering, Volume 2016, Issue 1, 2016., 2016 A numerical analysis of the space‐fractional wave equation is carried out by the improved moving least‐square Ritz (IMLS‐Ritz) method. The trial functions for the space‐fractional wave equation are constructed by the IMLS approximation. By the Galerkin weak form, the energy functional is formulated.
Rongjun Cheng +3 more
wiley +1 more source
An Improved Interpolating Element‐Free Galerkin Method Based on Nonsingular Weight Functions
Mathematical Problems in Engineering, Volume 2014, Issue 1, 2014., 2014 Based on the moving least‐squares (MLS) approximation, an improved interpolating moving least‐squares (IIMLS) method based on nonsingular weight functions is presented in this paper. Then combining the IIMLS method and the Galerkin weak form, an improved interpolating element‐free Galerkin (IIEFG) method is presented for two‐dimensional potential ...
F. X. Sun +3 more
wiley +1 more source
The Improved Moving Least‐Square Ritz Method for the One‐Dimensional Sine‐Gordon Equation
Mathematical Problems in Engineering, Volume 2014, Issue 1, 2014., 2014 Analysis of the one‐dimensional sine‐Gordon equation is performed using the improved moving least‐square Ritz method (IMLS‐Ritz method). The improved moving least‐square approximation is employed to approximate the 1D displacement field. A system of discrete equations is obtained by application of the Ritz minimization procedure.
Qi Wei, Rongjun Cheng, Zan Zhang
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Mathematical Problems in Engineering, Volume 2014, Issue 1, 2014., 2014 The interpolating moving least‐squares (IMLS) method is discussed in detail, and a simpler formula of the shape function of the IMLS method is obtained. Then, based on the IMLS method and the Galerkin weak form, an interpolating element‐free Galerkin (IEFG) method for two‐point boundary value problems is presented.
J. F. Wang +3 more
wiley +1 more source
The Interpolating Element‐Free Galerkin Method for 2D Transient Heat Conduction Problems
Mathematical Problems in Engineering, Volume 2014, Issue 1, 2014., 2014 An interpolating element‐free Galerkin (IEFG) method is presented for transient heat conduction problems. The shape function in the moving least‐squares (MLS) approximation does not satisfy the property of Kronecker delta function, so an interpolating moving least‐squares (IMLS) method is discussed; then combining the shape function constructed by the ...
Na Zhao, Hongping Ren, Yumin Cheng
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 3, Page 4015-4034, February 2025.In this paper, we established a polynomial scaling method to investigate the numerical solution of Rosenau–Korteweg De Vries‐regularized long wave (Rosenau‐KdV‐RLW) equation. We start with discretization of the time variable of the equation using a finite difference approach equipped with a linearization.
Ömer Oruç, Alaattin Esen, Fatih Bulut
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Alexandria Engineering JournalIn this study, the improved interpolating element-free Galerkin (IIEFG) method with a nonsingular weight function for solving the 3D Schrödinger equations is presented.
Haili Cui +3 more
doaj +1 more source
Mathematical Aspects of Meshless Methods
, 2014 Mathematical Problems in Engineering, Volume 2014, Issue 1, 2014.
Yumin Cheng +3 more
wiley +1 more source