A hybrid LRBF-DQ method for solving nonlinear (2 + 1) dimensional initial-boundary value problems

DOI10.1016/j.enganabound.2022.08.026OpenAlexW4296397876MaRDI QIDQ6137964

Majid Amirfakhrian, Unnamed Author, Hojatollah Adibi

Publication date: 16 January 2024

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2022.08.026

zbMATH Keywords

sine-Gordon equationZakharov-Kuznetsov equationBurgers' equationsnonlinear initial boundary value problemlocal radial basis functionnonlinear chemical reaction-diffusionstep-by-step differential quadrature method

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A method for solving partial differential equations via radial basis functions: application to the heat equation
• Matrix stability of multiquadric radial basis function methods for hyperbolic equations with uniform centers
• A not-a-knot meshless method using radial basis functions and predictor-corrector scheme to the numerical solution of improved Boussinesq equation
• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• On the optimal shape parameter for Gaussian radial basis function finite difference approximation of the Poisson equation
• A meshless method on non-Fickian flows with mixing length growth in porous media based on radial basis functions: a comparative study
• A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
• On some computational orders of convergence
• A local meshless method based on moving least squares and local radial basis functions
• The numerical solution of Cahn-Hilliard (CH) equation in one, two and three-dimensions via globally radial basis functions (GRBFs) and RBFs-differential quadrature (RBFs-DQ) methods
• Solution of multi-dimensional Klein-Gordon-Zakharov and Schrödinger/Gross-Pitaevskii equations via local radial basis functions-differential quadrature (RBF-DQ) technique on non-rectangular computational domains
• An upwind local radial basis functions-differential quadrature (RBF-DQ) method with proper orthogonal decomposition (POD) approach for solving compressible Euler equation
• Numerical solution of the system of second-order boundary value problems using the local radial basis functions based differential quadrature collocation method
• Block-marching in time with DQ discretization: An efficient method for time-dependent problems
• An adaptive LOOCV-based refinement scheme for RBF collocation methods over irregular domains
• Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions
• A highly accurate trivariate spectral collocation method of solution for two-dimensional nonlinear initial-boundary value problems
• On a generalized Gaussian radial basis function: analysis and applications
• Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equa\-tions
• A Meshless Method Using Radial Basis Functions for the Numerical Solution of Two-Dimensional Complex Ginzburg-Landau Equation
• A meshless method for numerical solution of a linear hyperbolic equation with variable coefficients in two space dimensions
• A numerical study of the accuracy and stability of symmetric and asymmetric RBF collocation methods for hyperbolic PDEs

This page was built for publication: A hybrid LRBF-DQ method for solving nonlinear (2 + 1) dimensional initial-boundary value problems