An accelerated novel meshless coupled Algorithm for non-local nonlinear behavior in 2D/3D space-fractional GPEs

Fractional derivatives and integrals (26A33) Parallel algorithms in computer science (68W10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Cites Work

Unnamed Item
A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations
An energy conservative difference scheme for the nonlinear fractional Schrödinger equations
Crank-Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative
On partially inexact HSS iteration methods for the complex symmetric linear systems in space fractional CNLS equations
A fourth-order implicit-explicit scheme for the space fractional nonlinear Schrödinger equations
The global solution for a class of systems of fractional nonlinear Schrödinger equations with periodic boundary condition
Element free Galerkin approach based on the reproducing kernel particle method for solving 2D fractional Tricomi-type equation with Robin boundary condition
An effective pure meshfree method for 1D/2D time fractional convection-diffusion problems on irregular geometry
Smoothed particle hydrodynamics (SPH): an overview and recent developments
Fractional quantum mechanics and Lévy path integrals
A second-order numerical method for two-dimensional two-sided space fractional convection diffusion equation
Split-step spectral Galerkin method for the two-dimensional nonlinear space-fractional Schrödinger equation
On meshfree GFDM solvers for the incompressible Navier-Stokes equations
A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations
High-order numerical algorithms for Riesz derivatives via constructing new generating functions
On HSS-like iteration method for the space fractional coupled nonlinear Schrödinger equations
An RBF based meshless method for the distributed order time fractional advection-diffusion equation
Necessity of introducing non-integer shifted parameters by constructing high accuracy finite difference algorithms for a two-sided space-fractional advection-diffusion model
A meshless method for solving three-dimensional time fractional diffusion equation with variable-order derivatives
Meshfree numerical approach based on the finite pointset method for static linear elasticity problems
Generalized finite difference method for electroelastic analysis of three-dimensional piezoelectric structures
Generalized finite difference method for a class of multidimensional space-fractional diffusion equations
An efficient split-step and implicit pure mesh-free method for the 2D/3D nonlinear Gross-Pitaevskii equations
A least-squares particle model with other techniques for 2D viscoelastic fluid/free surface flow
A structure preserving difference scheme with fast algorithms for high dimensional nonlinear space-fractional Schrödinger equations
A meshfree arbitrary Lagrangian-Eulerian method for the BGK model of the Boltzmann equation with moving boundaries
A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrödinger equations
A high-order nodal discontinuous Galerkin method for nonlinear fractional Schrödinger type equations
A Petrov-Galerkin finite element-meshfree formulation for multi-dimensional fractional diffusion equations
A new collection of real world applications of fractional calculus in science and engineering
Perfectly matched layer for computing the dynamics of nonlinear Schrödinger equations by pseudospectral methods. Application to rotating Bose-Einstein condensates
A review of definitions of fractional derivatives and other operators
Lattice Boltzmann model for the interaction of \((2+1)\)-dimensional solitons in generalized Gross-Pitaevskii equation
The \(\delta p l u s\)-SPH model: simple procedures for a further improvement of the SPH scheme
Preconditioned modified Hermitian and skew-Hermitian splitting iteration methods for fractional nonlinear Schrödinger equations
A hybridized discontinuous Galerkin method for 2D fractional convection-diffusion equations
A perfectly matched layer approach to the nonlinear Schrödinger wave equations
Numerical studies on the split-step finite difference method for nonlinear Schrödinger equations
Numerical Solution of System of N–Coupled NonlinearSchrödinger Equations via Two Variants of the MeshlessLocal Petrov–Galerkin (MLPG) Method
Some physical applications of fractional Schrödinger equation
A Meshfree Method for the Fractional Advection-Diffusion Equation
Meshless analysis of two-dimensional two-sided space-fractional wave equation based on improved moving least-squares approximation
Highly accurate finite difference method for coupled nonlinear Schrödinger equation
Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation
A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation
Ground states and concentration phenomena for the fractional Schrödinger equation
Coupling of an SPH-based solver with a multiphysics library
Generalized finite-difference time-domain method with absorbing boundary conditions for solving the nonlinear Schrödinger equation on a GPU

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