[PDF][PDF] Applications of the MLPG method in engineering & sciences: a review
A review is presented for analysis of problems in engineering & the sciences, with the use of
the meshless local Petrov-Galerkin (MLPG) method. The success of the meshless methods …
the meshless local Petrov-Galerkin (MLPG) method. The success of the meshless methods …
[PDF][PDF] Integrating Krylov deferred correction and generalized finite difference methods for dynamic simulations of wave propagation phenomena in long-time intervals
In this paper, a high-accuracy numerical scheme is developed for long-time dynamic
simulations of 2D and 3D wave propagation phenomena. In the derivation of the present …
simulations of 2D and 3D wave propagation phenomena. In the derivation of the present …
Localized boundary knot method and its application to large-scale acoustic problems
We present a new localized boundary knot method (LBKM) for the solution of large-scale
partial differential equations based on the non-singular general solutions. The proposed …
partial differential equations based on the non-singular general solutions. The proposed …
A two-dimensional inverse heat conduction problem for simultaneous estimation of heat convection coefficient, fluid temperature and wall temperature on the inner …
The thermal stress caused by thermal stratification in the pipelines of nuclear plants can
easily induce thermal fatigue. Predicting the temperature fluctuations at the inner wall in the …
easily induce thermal fatigue. Predicting the temperature fluctuations at the inner wall in the …
Meshless local Petrov–Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity
In this article a meshless local Petrov–Galerkin (MLPG) method is given to obtain the
numerical solution of the coupled equations in velocity and magnetic field for unsteady …
numerical solution of the coupled equations in velocity and magnetic field for unsteady …
[HTML][HTML] Direct meshless local Petrov–Galerkin (DMLPG) method for time-fractional fourth-order reaction–diffusion problem on complex domains
M Abbaszadeh, M Dehghan - Computers & Mathematics with Applications, 2020 - Elsevier
A new numerical scheme has been developed based on the fast and efficient meshless
local weak form ie direct meshless local Petrov–Galerkin (DMLPG) method for solving the …
local weak form ie direct meshless local Petrov–Galerkin (DMLPG) method for solving the …
[PDF][PDF] Analysis of 2D heat conduction in nonlinear functionally graded materials using a local semi-analytical meshless method
Analysis of 2D heat conduction in nonlinear functionally graded materials using a local semi-analytical
meshless method Page 1 AIMS Mathematics, 6(11): 12599–12618. DOI: 10.3934/math.2021726 …
meshless method Page 1 AIMS Mathematics, 6(11): 12599–12618. DOI: 10.3934/math.2021726 …
The meshless local Petrov–Galerkin (MLPG) method for the generalized two-dimensional non-linear Schrödinger equation
In this paper the meshless local Petrov–Galerkin (MLPG) method is presented for the
numerical solution of the two-dimensional non-linear Schrödinger equation. The method is …
numerical solution of the two-dimensional non-linear Schrödinger equation. The method is …
Localized method of fundamental solutions for large-scale modelling of three-dimensional anisotropic heat conduction problems–Theory and MATLAB code
The method of fundamental solutions (MFS) belongs to the family of meshless boundary
collocation methods and now has been successfully tried for many kinds of engineering …
collocation methods and now has been successfully tried for many kinds of engineering …
[HTML][HTML] Meshless local Petrov–Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation
During the past few years, the idea of using meshless methods for numerical solution of
partial differential equations (PDEs) has received much attention throughout the scientific …
partial differential equations (PDEs) has received much attention throughout the scientific …