Numerical Simulation of Non-Linear Schrodinger Equations in Arbitrary Domain by the Localized Method of Approximate Particular Solution

A strong-form meshfree computational method for plane elastostatic equations of anisotropic functionally graded materials via multiple-scale Pascal polynomials ⋮ Analysis of an element-free Galerkin method for the nonlinear Schrödinger equation ⋮ Sinc Collocation Numerical Methods for Solving Two-Dimensional Gross-Pitaevskii Equations with Non-Homogeneous Dirichlet Boundary Conditions

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An element-free based solution for nonlinear Schrödinger equations using the ICVMLS-Ritz method
An improved collocation method for multi-dimensional space-time variable-order fractional Schrödinger equations
Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions
Orbital instability of standing waves for the generalized 3D nonlocal nonlinear Schrödinger equations
A new investigation into regularization techniques for the method of fundamental solutions
A localized approach for the method of approximate particular solutions
Infinitely many solutions for nonlinear Schrödinger equations with electromagnetic fields
An exact solution for the modified nonlinear Schrödinger's equation for Davydov solitons in \(\alpha \)-helix proteins
The nonlinear dynamics of rogue waves and holes in deep-water gravity wave trains
The use of compact boundary value method for the solution of two-dimensional Schrödinger equation
The exact solitary wave solutions for the Klein-Gordon-Schrödinger equations
Boundary function method for inverse geometry problem in two-dimensional anisotropic heat conduction equation
Numerical solutions of two-dimensional flow fields by using the localized method of approximate particular solutions
A multiple-scale MQ-RBF for solving the inverse Cauchy problems in arbitrary plane domain
Numerical simulation of 3D nonlinear Schrödinger equations by using the localized method of approximate particular solutions
A typical backward substitution method for the simulation of Helmholtz problems in arbitrary 2D domains
Indirect boundary integral equation method for the Cauchy problem of the Laplace equation
The finite difference scheme for nonlinear Schrödinger equations on unbounded domain by artificial boundary conditions
Local discontinuous Galerkin methods for nonlinear Schrödinger equations
Numerical solution of the system of second-order boundary value problems using the local radial basis functions based differential quadrature collocation method
Time and temperature dependent correlation functions of 1D models of quantum statistical mechanics
The sample solution approach for determination of the optimal shape parameter in the multiquadric function of the Kansa method
An improved localized method of approximate particular solutions for solving elliptic PDEs
A novel meshless method for fully nonlinear advection-diffusion-reaction problems to model transfer in anisotropic media
Localized method of approximate particular solutions for solving unsteady Navier-Stokes problem
Method of particular solutions using polynomial basis functions for the simulation of plate bending vibration problems
A modified singular boundary method for three-dimensional high frequency acoustic wave problems
Analysis of three-dimensional anisotropic heat conduction problems on thin domains using an advanced boundary element method
The improved complex variable element-free Galerkin method for two-dimensional Schrödinger equation
The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions
A new radial basis function for Helmholtz problems
A localized meshless approach for modeling spatial-temporal calcium dynamics in ventricular myocytes
Stable Computations with Gaussian Radial Basis Functions
Multidimensional binary search trees used for associative searching
Solution of Two-Dimensional Stokes Flow Problems Using Improved Singular Boundary Method
Simulation of Seismic Wave Scattering by Embedded Cavities in an Elastic Half-Plane Using the Novel Singular Boundary Method
A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation
Solving PDEs with radial basis functions