On the numerical solution of high order multi-dimensional elliptic PDEs
DOI10.1016/j.camwa.2018.06.017zbMath1427.65406OpenAlexW2810129365WikidataQ114201594 ScholiaQ114201594MaRDI QIDQ2338363
Publication date: 21 November 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2018.06.017
Numerical computation using splines (65D07) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical quadrature and cubature formulas (65D32) Numerical methods for partial differential equations, boundary value problems (65N99)
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Cites Work
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- Numerical solution of Burgers' equation with modified cubic B-spline differential quadrature method
- On spline-based differential quadrature
- A general spline differential quadrature method based on quasi-interpolation
- B-spline collocation for solution of two-point boundary value problems
- Using boundary-operator method for approximate solution of a boundary value problem (BVP) for triharmonic equation
- Some new consistency relations connecting spline values at mesh and mid points
- Differential quadrature and splines
- Fast and high accuracy multigrid solution of the three dimensional Poisson equation
- Comparison of second- and fourth-order discretizations for multigrid Poisson solvers
- Spline-based differential quadrature for fourth order differential equations and its application to Kirchhoff plates
- Effective implementation of the weak Galerkin finite element methods for the biharmonic equation
- Legendre-Galerkin spectral-element method for the biharmonic equations and its applications
- An efficient differential quadrature method for fractional advection-diffusion equation
- An algorithm based on exponential modified cubic B-spline differential quadrature method for nonlinear Burgers' equation
- Iterative method for solving a boundary value problem for triharmonic equation
- Spine based shape parameterisation for PDE surfaces
- Accurate finite difference methods for time-harmonic wave propagation
- High order approximations using spline-based differential quadrature method: implementation to the multi-dimensional PDEs
- Spline-based DQM for multi-dimensional PDEs: application to biharmonic and Poisson equations in 2D and 3D
- Numerical simulation of reaction-diffusion systems by modified cubic B-spline differential quadrature method
- Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
- Numerical Solutions of Differential Equations Using Modified B-spline Differential Quadrature Method
- Cubic B‐spline differential quadrature methods for the advection‐diffusion equation
- Single-cell compact finite-difference discretization of order two and four for multidimensional triharmonic problems
- Integrated radial basis functions-based differential quadrature method and its performance
- Solution of the two dimensional second biharmonic equation with high‐order accuracy
- Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations
- Multi-Level Adaptive Solutions to Boundary-Value Problems
- A highly accurate numerical solution of a biharmonic equation
- Multigrid Solution of Automatically Generated High-Order Discretizations for the Biharmonic Equation
- A compact discretization ofO(h4) for two-dimensional nonlinear triharmonic equations
- A New High Accuracy Off-Step Discretisation for the Solution of 2D Nonlinear Triharmonic Equations
