A meshfree method for the nonlinear KdV equation using stabilized collocation method and gradient reproducing kernel approximations

Cites Work

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A finite element method for extended KdV equations
On the increasingly flat radial basis function and optimal shape parameter for the solution of elliptic PDEs
Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
The finite element method for the coupled Schrödinger-KdV equations
An implicit gradient model by a reproducing kernel strain regularization in strain localization problems
Bifurcations and exact traveling wave solutions for the KdV-like equation
Exact solutions of the KdV equation with dual-power law nonlinearity
A numerical method for KdV equation using collocation and radial basis functions
Numerical solution of complex modified Korteweg-de Vries equation by mesh-free collocation method
Viscous flow solutions with a cubic spline approximation
On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves.
Searching for an optimal shape parameter for solving a partial differential equation with the radial basis functions method
Solutions of the fractional combined KdV-mKdV equation with collocation method using radial basis function and their geometrical obstructions
Leave-two-out cross validation to optimal shape parameter in radial basis functions
A stabilized collocation method based on the efficient gradient reproducing kernel approximations for the boundary value problems
A meshfree stabilized collocation method (SCM) based on reproducing kernel approximation
An efficient meshfree gradient smoothing collocation method (GSCM) using reproducing kernel approximation
Local radial basis functions and scale-3 Haar wavelets operational matrices based numerical algorithms for generalized regularized long wave model
Characterizations of all real solutions for the KdV equation and \(W_{\mathbb{R}}\)
A mixed algorithm for numerical computation of soliton solutions of the coupled KdV equation: finite difference method and differential quadrature method
A finite difference scheme on graded meshes for time-fractional nonlinear Korteweg-de Vries equation
A gradient reproducing kernel collocation method for high order differential equations
Complex simplified Hirota's forms and Lie symmetry analysis for multiple real and complex soliton solutions of the modified KdV-sine-Gordon equation
Exact solutions for the general fifth KdV equation by the exp function method
A meshless method of lines for the numerical solution of KdV equation using radial basis functions
Arbitrary order recursive formulation of meshfree gradients with application to superconvergent collocation analysis of Kirchhoff plates
A gradient reproducing kernel based stabilized collocation method for the static and dynamic problems of thin elastic beams and plates
Stabilized Lagrange interpolation collocation method: a meshfree method incorporating the advantages of finite element method
A stabilized conforming nodal integration for Galerkin mesh-free methods
A gradient reproducing kernel collocation method for boundary value problems
Reproducing kernel hierarchical partition of unity, Part I?formulation and theory
Unified derivation of Korteweg-de Vries- Zakharov-Kuznetsov equations in multispecies plasmas
Numerical study of the Kadomtsev–Petviashvili equation and dispersive shock waves
An effective application of differential quadrature method based onmodified cubic B-splines to numerical solutions of the KdV equation
Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
NUMERICAL SOLUTIONS OF SPACE FRACTIONAL VARIABLE-COEFFICIENT KdV–MODIFIED KdV EQUATION BY FOURIER SPECTRAL METHOD
A NEW PERSPECTIVE TO STUDY THE THIRD-ORDER MODIFIED KDV EQUATION ON FRACTAL SET
Comparison of Caputo and conformable derivatives for time-fractional Korteweg–de Vries equation via the finite difference method
Gradient reproducing kernel based Hermite collocation method (GHCM) for eigenvalue analysis of functionally graded thin plates with in-plane material
Numerical solutions of the initial boundary value problem for the perturbed conformable time Korteweg‐de Vries equation by using the finite element method
Investigation of Coriolis effect on oceanic flows and its bifurcation via geophysical Korteweg–de Vries equation
A stabilized local RBF collocation method for incompressible Navier-Stokes equations
Evolution of initial discontinuities in a particular case of two-step initial problem for the defocusing complex modified KdV equation
Shapes and dynamics of dual-mode Hirota-Satsuma coupled KdV equations: exact traveling wave solutions and analysis
Responses of a full-scale ship subjected to a solitary wave
Weighted radial basis collocation method for large deformation analysis of rubber-like materials
Bell polynomials and superposition wave solutions of Hirota-Satsuma coupled KdV equations

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