A strong-form local meshless approach based on radial basis function-finite difference (RBF-FD) method for solving multi-dimensional coupled damped Schrödinger …
Ö Oruç - Communications in Nonlinear Science and Numerical …, 2022 - Elsevier
In this work, one-dimensional (1D), two-dimensional (2D) and three-dimensional (3D)
coupled damped Schrödinger system is solved numerically. A strong-form local meshless …
coupled damped Schrödinger system is solved numerically. A strong-form local meshless …
[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 …
Tanh Jacobi spectral collocation method for the numerical simulation of nonlinear Schrödinger equations on unbounded domain
We present a class of orthogonal functions on infinite domain based on Jacobi polynomials.
These functions are generated by applying a tanh transformation to Jacobi polynomials. We …
These functions are generated by applying a tanh transformation to Jacobi polynomials. We …
Well-posedness of space fractional Ginzburg–Landau equations involving the fractional Laplacian arising in a Bose–Einstein condensation and its kernel based …
This study aims to investigate some theoretical results, numerical study and a real-word
application of the SFGLE, involving the fractional Laplacian. First, we describe the …
application of the SFGLE, involving the fractional Laplacian. First, we describe the …
Numerical solution of an inverse source problem for a time-fractional PDE via direct meshless local Petrov–Galerkin method
T Molaee, A Shahrezaee - Engineering Analysis with Boundary Elements, 2022 - Elsevier
In this paper, we employ an improved Meshless Local Petrov–Galerkin (MLPG), namely
Direct Meshless Local Petrov–Galerkin (DMLPG) method, for solving an inverse time …
Direct Meshless Local Petrov–Galerkin (DMLPG) method, for solving an inverse time …
Divergence-free meshless local Petrov–Galerkin method for Stokes flow
The purpose of the present paper is development of an efficient meshless solution of steady
incompressible Stokes flow problems with constant viscosity in two dimensions, with …
incompressible Stokes flow problems with constant viscosity in two dimensions, with …
Simulation of the coupled Schrödinger–Boussinesq equations through integrated radial basis functions-partition of unity method
A Ebrahimijahan, M Dehghan… - Engineering Analysis with …, 2023 - Elsevier
In this paper, integrated radial basis functions-partition of unity (IRBF-PU) method is
presented for the numerical solution of the one-and two-dimensional coupled Schrödinger …
presented for the numerical solution of the one-and two-dimensional coupled Schrödinger …
A meshless weak–strong form method for the simulation of coupled flow and contaminant transport in an unconfined aquifer
Meshless methods are potential substitutes to the conventional finite difference and finite
element methods (FDM and FEM) and have the advantage of alleviating the meshing and …
element methods (FDM and FEM) and have the advantage of alleviating the meshing and …
Thermo-mechanical shock fracture analysis by meshless method
Different types of mechanical and thermal shock loads are considered to investigate
transient stress intensity factors of two/three dimensional cracked specimens via meshless …
transient stress intensity factors of two/three dimensional cracked specimens via meshless …
Dynamics of localized symmetric periodical waves in the non-Kerr media
E Kengne - Optical and Quantum Electronics, 2023 - Springer
A perturbed higher-order nonlinear Schrödinger equation with self-steepening, self-
frequency shift, and quintic non-Kerr nonlinearity terms is used to investigate the dynamics …
frequency shift, and quintic non-Kerr nonlinearity terms is used to investigate the dynamics …