Results 21 to 30 of about 10,988,138 (193)

A novel local Hermite radial basis function‐based differential quadrature method for solving two‐dimensional variable‐order time fractional advection–diffusion equation with Neumann boundary conditions

Numerical Methods for Partial Differential Equations, Volume 39, Issue 4, Page 2998-3019, July 2023., 2023
Abstract A novel Hermite radial basis function‐based differential quadrature (H‐RBF‐DQ) method is presented in this paper based on 2D variable order time fractional advection–diffusion equations with Neumann boundary conditions. The proposed method is designed to treat accurately for derivative boundary conditions, which considerably improve the ...
Jianming Liu, Xin Kai Li, Xiuling Hu
wiley   +1 more source

An immersed boundary vector potential‐vorticity meshless solver of the incompressible Navier–Stokes equation

International Journal for Numerical Methods in Fluids, Volume 95, Issue 1, Page 143-175, January 2023., 2023
We present a new strong‐form meshless solver combined with the boundary condition‐enforced immersed boundary method for the numerical solution of the nonstationary, incompressible, viscous Navier–Stokes equations in their stream function‐vorticity (in 2D) and vector potential‐vorticity (in 3D) formulation.
George C. Bourantas, Benjamin F. Zwick, Theo Philippe Lavier, Vassilios C. Loukopoulos, Athanassios A. Dimas, Adam Wittek, Karol Miller   +6 more
wiley   +1 more source

Size‐Dependent Thermoelastic Behavior Analysis of Functionally Graded Magneto‐Electro‐Elastic Cylindrical Shells Based on Modified Couple Stress Theory

Advances in Materials Science and Engineering, Volume 2023, Issue 1, 2023., 2023
In this article, the influence of important parameters on the size‐dependent thermoelastic behavior of functionally graded magneto‐electro‐thermo‐elastic microcylinders (FGMEE) is studied by means of modified stress couple theory and under the influence of combined mechanical‐thermal‐magnetic loads.
Sajad Golchin Khazari, Younes Mohammadi, Mohammad Mahdi Kheirikhah, Anish Maridhas   +3 more
wiley   +1 more source

Adaptive Numerical Method for Approximation of Traffic Flow Equations

Journal of Advanced Transportation, Volume 2022, Issue 1, 2022., 2022
For a long time now, traffic equations have been considered, and different modeling has been done for it. In this article, we work on the macroscopic model, especially the most famous light model. Because these models are among the stiff and shocking problems, theoretical methods do not give good answers to these problems.
Neda Najafzadeh, Saeid Abbasbandy, Elyas Shivanian, Jing Zhao   +3 more
wiley   +1 more source

Fracture and Fatigue Analyses of Cracked Structures Using the Iterative Method

Geofluids, Volume 2021, Issue 1, 2021., 2021
It is a quite challenging subject to efficiently perform fracture and fatigue analyses for complex structures with cracks in engineering. To precisely and efficiently study crack problems in practical engineering, an iterative method is developed in this study.
Longgang Tian, Ziling Cheng, Feng Xiong
wiley   +1 more source

A New Sinusoidal Shear Deformation Theory for Static Bending Analysis of Functionally Graded Plates Resting on Winkler–Pasternak Foundations

Advances in Civil Engineering, Volume 2021, Issue 1, 2021., 2021
In this article, a new sinusoidal shear deformation theory was developed for static bending analysis of functionally graded plates resting on elastic foundations. The proposed theory used an undefined integral term to reduce the number of the unknown to four without any shear correction factors.
Pham Minh Phuc, Vu Nguyen Thanh, Chaohui Wang   +2 more
wiley   +1 more source

Numerical Investigation on Improving the Computational Efficiency of the Material Point Method

Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021
Based on the basic theory of the material point method (MPM), the factors affecting the computational efficiency are analyzed and discussed, and the problem of improving calculation efficiency is studied. This paper introduces a mirror reflection boundary condition to the MPM to solve axisymmetric problems; to improve the computational efficiency of ...
Jingxin Ma, Shengzhuo Lu, Yaqin Shi, Keyi Chen, Weidong Chen, Jerzy Baranowski   +5 more
wiley   +1 more source

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

Mathematical 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, Mamta Kapoor, Nitin Bhardwaj, Mehedi Masud, Jehad F. Al-Amri, G. Muhiuddin   +5 more
wiley   +1 more source

Meshless Local Petrov-Galerkin (MLPG) Method for Convection-Diffusion Problems [PDF]

, 2000
Due to the very general nature of the Meshless Local Petrov-Galerkin (MLPG) method, it is very easy and natural to introduce the upwinding concept (even in multi-dimensional cases) in the MLPG method, in order to deal with convection-dominated flows.
H. Lin, S.N. Atluri
core   +1 more source

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

Civil 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, Farzad Shahabian, Seyed Mahmoud Hosseini   +2 more
doaj   +1 more source