Results 31 to 40 of about 692 (169)

Numerical Approximation of One‐ and Two‐Dimensional Coupled Nonlinear Schrödinger Equation by Implementing Barycentric Lagrange Interpolation Polynomial DQM

open access: yesMathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021
In this paper, a new numerical method named Barycentric Lagrange interpolation‐based differential quadrature method is implemented to get numerical solution of 1D and 2D coupled nonlinear Schrödinger equations. In the present study, spatial discretization is done with the aid of Barycentric Lagrange interpolation basis function.
Varun Joshi   +5 more
wiley   +1 more source

MLPG analysis method for local buckling of ship opening beams

open access: yesZhongguo Jianchuan Yanjiu, 2021
ObjectivesIn order to solve the problems of the local buckling effect and obvious structural response and buckling failure force caused by high concentrated load, a meshless numerical method is proposed to simulate the problem.MethodsBased on discrete ...
Yu DUANMU   +3 more
doaj   +1 more source

Accurate MLPG Solution of 3D Potential Problems

open access: yes, 2008
Meshless methods have been explored in many 2D problems and they have been shown to be as accurate as Finite Element Methods (FEM). Compared to the extensive literature on 2D applications, papers on solving 3D problems by meshless methods are ...
Giorgio Pini   +2 more
core   +2 more sources

Analysis of Piezoelectric Semiconducting Solids by Meshless Method

open access: yesJournal of Mechanical Engineering, 2015
In this paper, a meshless local Petrov-Galerkin (MLPG) method is proposed to calculate mechanical and electrical responses of three-dimensional piezoelectric semiconductors under static load.
Staňák P., Sládek J., Sládek V.
doaj   +1 more source

Dynamic Analysis of Cylindrically Layered Structures Reinforced by Carbon Nanotube Using MLPG Method [PDF]

open access: yesCivil Engineering Infrastructures Journal, 2015
This paper deals with the dynamic analysis of stress field in cylindrically layeredstructures reinforced by carbon nanotube (CLSRCN) subjected to mechanical shock loading.Application of meshless local integral equations based on meshless local Petrov ...
Soleiman Ghouhestani   +2 more
doaj   +1 more source

The Numerical Solution of Fractional Black‐Scholes‐Schrodinger Equation Using the RBFs Method

open access: yesAdvances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020
In this paper, radial basis functions (RBFs) method was used to solve a fractional Black‐Scholes‐Schrodinger equation in an option pricing of financial problems. The RBFs method is applied in discretizing a spatial derivative process. The approximation of time fractional derivative is interpreted in the Caputo’s sense by a simple quadrature formula ...
Naravadee Nualsaard   +3 more
wiley   +1 more source

An Explicit Coupled Method of FEM and Meshless Particle Method for Simulating Transient Heat Transfer Process of Friction Stir Welding

open access: yesMathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020
Friction stir welding (FSW) is a favorable welding technology for aluminum alloys. The FSW process involves complex heat and mass transfer. Explicit meshless particle methods are currently popular methods for simulating the process, but they require expensive computational cost.
Yihua Xiao, Hecheng Wu, Nunzio Salerno
wiley   +1 more source

Research on Error Estimations of the Interpolating Boundary Element Free‐Method for Two‐Dimensional Potential Problems

open access: yesMathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020
The interpolating boundary element‐free method (IBEFM) is a direct solution method of the meshless boundary integral equation method, which has high efficiency and accuracy. The IBEFM is developed based on the interpolating moving least‐squares (IMLS) method and the boundary integral equation method.
Jufeng Wang   +3 more
wiley   +1 more source

Node-to-Node Realization of Meshless Local Petrov Galerkin (MLPG) Fully in GPU

open access: yesIEEE Access, 2019
This paper presents an end-to-end massively parallelized procedure for the solution of boundary value problems on Graphics Processing Units (GPU). The proposal is an integrated strategy that not only entails the calculation of nodal contributions, and ...
Lucas Pantuza Amorim   +3 more
doaj   +1 more source

Calculation of Hybrid Ionized Field of AC/DC Transmission Lines by the Meshless Local Petorv–Galerkin Method

open access: yesEnergies, 2018
To save land resources, the construction of the high-voltage direct current (HVDC) and high-voltage alternating current (HVAC) hybrid transmission lines in the same corridor is inevitable. To provide suggestions for the construction of the AC/DC parallel
Qiang Li   +6 more
doaj   +1 more source

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