On the analysis of a kind of nonlinear Sobolev equation through locally applied pseudo‐spectral meshfree radial point interpolation
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Publication:6088459
DOI10.1002/num.22536OpenAlexW3081697857WikidataQ114235264 ScholiaQ114235264MaRDI QIDQ6088459
Elyas Shivanian, Khalid Hammood AL-Jizani, Saeid Abbasbandy
Publication date: 14 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22536
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical radial basis function approximation (65D12)
Cites Work
- Unnamed Item
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- An implicit RBF meshless approach for time fractional diffusion equations
- A fully-discrete local discontinuous Galerkin method for convection-dominated Sobolev equation
- A meshless method for two-dimensional diffusion equation with an integral condition
- Comparison of meshless local weak and strong forms based on particular solutions for a non-classical 2-D diffusion model
- Weak Galerkin finite element methods for Sobolev equation
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- Numerical simulation of two-dimensional sine-Gordon solitons via a local weak meshless technique based on the radial point interpolation method (RPIM)
- MLPG method for two-dimensional diffusion equation with Neumann's and non-classical boundary conditions
- Local discontinuous Galerkin finite element method and error estimates for one class of Sobolev equation
- Unconditional superconvergence analysis of a new mixed finite element method for nonlinear Sobolev equation
- Local radial point interpolation (MLRPI) method for solving time fractional diffusion-wave equation with damping
- The convergence of fully discrete Galerkin approximations for the Benjamin--Bona--Mahony (BBM) equation
- A new spectral meshless radial point interpolation (SMRPI) method for the two-dimensional Fredholm integral equations on general domains with error analysis
- A priori error estimates for interior penalty discontinuous Galerkin method applied to nonlinear Sobolev equations
- Coupling three-field formulation and meshless mixed Galerkin methods using radial basis functions
- Rational radial basis function interpolation with applications to antenna design
- Finite element methods for nonlinear Sobolev equations with nonlinear boundary conditions
- A coupled non-linear hyperbolic-Sobolev system
- Meshless local Petrov-Galerkin (MLPG) method for three-dimensional nonlinear wave equations via moving least squares approximation
- Local integration of 2-D fractional telegraph equation via moving least squares approximation
- More accurate results for nonlinear generalized Benjamin-Bona-Mahony-Burgers (GBBMB) problem through spectral meshless radial point interpolation (SMRPI)
- A new spectral meshless radial point interpolation (SMRPI) method: a well-behaved alternative to the meshless weak forms
- Error estimates for a Galerkin method for a class of model equations for long waves
- A POD-based reduced-order Crank-Nicolson finite volume element extrapolating algorithm for 2D Sobolev equations
- A cooling process according to two-temperature theory of heat conduction
- A reduced-order extrapolated finite difference iterative scheme based on POD method for 2D Sobolev equation
- An improved spectral meshless radial point interpolation for a class of time-dependent fractional integral equations: 2D fractional evolution equation
- On exact solutions of a Sobolev equation
- Analysis of meshless local radial point interpolation (MLRPI) on a nonlinear partial integro-differential equation arising in population dynamics
- A meshfree method for the solution of two-dimensional cubic nonlinear Schrödinger equation
- Application of a lumped Galerkin method to the regularized long wave equation
- \(H^1\)-Galerkin mixed finite element method for the regularized long wave equation
- Numerical analysis of a mathematical model for capillary formation in tumor angiogenesis using a meshfree method based on the radial basis function
- A quasilinear parabolic and a related third order problem
- A Petrov-Galerkin finite element scheme for the regularized long wave equation
- Numerical solution of regularized long wave equation using Petrov-Galerkin method
- Spectral meshless radial point interpolation (SMRPI) method to two-dimensional fractional telegraph equation
- Meshless local radial point interpolation to three-dimensional wave equation with Neumann's boundary conditions
- On the convergence analysis, stability, and implementation of meshless local radial point interpolation on a class of three-dimensional wave equations
- Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
- On the Accuracy of the Finite Volume Element Method for Diffusion Equations on Composite Grids
- Superconvergence of a Finite Element Approximation to the Solution of a Sobolev Equation in a Single Space Variable
- Convergence of Finite Volume Schemes for Poisson’s Equation on Nonuniform Meshes
- Time-Stepping Galerkin Methods for Nonlinear Sobolev Partial Differential Equations
- Element‐free Galerkin methods
- Spectral Methods in MATLAB
- H1-Galerkin mixed finite element methods for parabolic partial integro-differential equations
- Numerical solution of two-dimensional inverse force function in the wave equation with nonlocal boundary conditions
