Due to the symmetry feature in nature, fractional differential equations precisely measure and describe biological and physical processes. Multiterm time‐fractional order has been introduced to model complex processes in different physical phenomena.
Shams Ul Arifeen +3 more
wiley +1 more source
Application of moving kriging interpolation based on the meshless local Petrov-Galerkin (MK-MLPG) method for the two-dimensional time-dependent Schrodinger equation [PDF]
In this article, an efficient numerical technique for solving the two-dimensional time-dependent Schrodinger equation is presented. At first, we employ the meshlesslocal Petrov-Galerkin (MLPG) method based on a local weak formulation to ...
Esmail Hesameddini, Ali Habibirad
doaj +1 more source
Buckling analysis of axially functionally graded carbon nanotubes-reinforced columns using the meshless method [PDF]
The spread of different material processing technologies has led to the novel methods developed for reinforcing structural members. One of these approaches is to add the carbon nanotubes (CNTs) with different distributions through the matrix phase of ...
Hanie Elahihamezanlui +2 more
doaj +1 more source
Adaptive Numerical Method for Approximation of Traffic Flow Equations
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 +3 more
wiley +1 more source
Exponentially Fitted Element‐Free Galerkin Approach for Nonlinear Singularly Perturbed Problems
As it is well recognized that conventional numerical schemes are inefficient in approximating the solutions of the singularly perturbed problems (SPP) in the boundary layer region, in the present work, an effort has been made to propose a robust and efficient numerical approach known as element‐free Galerkin (EFG) technique to capture these solutions ...
Jagbir Kaur, Vivek Sangwan, M. M. Bhatti
wiley +1 more source
Dynamic Analysis of Cylindrically Layered Structures Reinforced by Carbon Nanotube Using MLPG Method [PDF]
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
Fracture and Fatigue Analyses of Cracked Structures Using the Iterative Method
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
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 +2 more
wiley +1 more source
Numerical Investigation on Improving the Computational Efficiency of the Material Point Method
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 +5 more
wiley +1 more source
Mixed Meshless Local Petrov-Galerkin Methods for Solving Linear Fourth-Order Differential Equations [PDF]
The paper presents meshless methods based on the mixed Meshless Local Petrov-Galerkin approach used for solving linear fourth-order differential equations.
Jurica Sorić +5 more
core +2 more sources

