An efficient MAPS for solving fourth order partial differential equations using trigonometric functions

DOI10.1016/j.camwa.2019.08.005zbMath1443.65431OpenAlexW2971177234MaRDI QIDQ2004565

Wen Li, Dan Wang, Ching-Shyang Chen

Publication date: 7 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2019.08.005

zbMATH Keywords

particular solutionsKansa's methodtrigonometric basis functionsfourth order PDEsMAPS

Mathematics Subject Classification ID

Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (3)

The local meshless method based on Pascal polynomial basis functions for solving fourth-order PDEs ⋮ A fictitious points one-step MPS-MFS technique ⋮ An adaptive approach for solving fourth-order partial differential equations: algorithm and applications to engineering models

Uses Software

• Matlab

Cites Work

• An efficient Chebyshev-tau method for solving the space fractional diffusion equations
• Superconvergence and recovery type a posteriori error estimation for hybrid stress finite element method
• Moving collocation methods for time fractional differential equations and simulation of blowup
• Multi-quadric quasi-interpolation method coupled with FDM for the Degasperis-Procesi equation
• Chebyshev-type methods and preconditioning techniques
• Solving fourth order differential equations using particular solutions of Helmholtz-type equations
• The method of particular solutions using trigonometric basis functions
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• Fundamental kernel-based method for backward space-time fractional diffusion problem
• High-accuracy quadrature methods for solving boundary integral equations of axisymmetric elasticity problems
• Polynomial particular solutions for solving elliptic partial differential equations
• The method of particular solutions for solving nonlinear Poisson problems
• Simulating backward wave propagation in metamaterial with radial basis functions
• A novel finite volume method for the Riesz space distributed-order advection-diffusion equation
• A boundary-only treatment by singular boundary method for two-dimensional inhomogeneous problems
• Successively iterative method for fractional differential equations with integral boundary conditions
• A mesh-free method using hyperinterpolation and fast Fourier transform for solving differential equations
• The method of approximate particular solutions for solving certain partial differential equations
• THE METHOD OF APPROXIMATE PARTICULAR SOLUTIONS FOR SOLVING ELLIPTIC PROBLEMS WITH VARIABLE COEFFICIENTS
• Fictitious Time Integration Method of Fundamental Solutions with Chebyshev Polynomials for Solving Poisson-type Nonlinear PDEs
• Particular Solutions of Chebyshev Polynomials for Polyharmonic and Poly-Helmholtz Equations
• Scattered Data Interpolation: Tests of Some Method
• A Revisit on the Derivation of the Particular Solution for the Differential Operator ∆² ± λ²
• Uniform Convergence Analysis of a Higher Order Hybrid Stress Quadrilateral Finite Element Method for Linear Elasticity Problems
• Simulation of Seismic Wave Scattering by Embedded Cavities in an Elastic Half-Plane Using the Novel Singular Boundary Method
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An efficient MAPS for solving fourth order partial differential equations using trigonometric functions