Method of particular solutions for second-order differential equation with variable coefficients via orthogonal polynomials

DOI10.1155/2023/9748605zbMath1515.65205MaRDI QIDQ6099107

Jian-Wei Zhou, Zhaozhong Zhang, Huantian Xie, Zi-Wu Jiang

Publication date: 19 June 2023

Published in: Journal of Function Spaces (Search for Journal in Brave)

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An improved a posteriori error estimate for the Galerkin spectral method in one dimension
• Legendre-Gauss collocation methods for ordinary differential equations
• The method of fundamental solutions for elliptic boundary value problems
• Solving partial differential equations by collocation using radial basis functions
• Elliptic partial differential equations of second order
• Particular solutions of Laplacian, Helmholtz-type, and polyharmonic operators involving higher order radial basis functions
• Multilevel compact radial functions based computational schemes for some elliptic problems
• Particular solutions of Helmholtz-type operators using higher order polyharmonic splines
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• Symmetric boundary knot method
• Particular solutions of the multi-Helmholtz-type equation
• Finite element approximation of optimal control problem governed by space fractional equation
• The method of approximate particular solutions for the time-fractional diffusion equation with a non-local boundary condition
• A posteriori error estimates of spectral approximations for second order partial differential equations in spherical geometries
• The method of particular solutions for solving nonlinear Poisson problems
• Shifted Legendre approximation with the residual correction to solve pantograph-delay type differential equations
• Localized method of approximate particular solutions for solving unsteady Navier-Stokes problem
• Spectral Galerkin approximation of optimal control problem governed by Riesz fractional differential equation
• Differential transform method for solving Volterra integral equation with separable kernels
• Superconvergence of a Chebyshev spectral collocation method
• Boundary meshfree methods based on the boundary point interpolation methods
• THE METHOD OF APPROXIMATE PARTICULAR SOLUTIONS FOR SOLVING ELLIPTIC PROBLEMS WITH VARIABLE COEFFICIENTS
• DERIVATION OF PARTICULAR SOLUTIONS USING CHEBYSHEV POLYNOMIAL BASED FUNCTIONS
• The method of particular solutions for solving scalar wave equations
• The Numerical Evaluation of Particular Solutions for Poisson's Equation
• Analysis of Mixed Methods Using Mesh Dependent Norms
• Element‐free Galerkin methods
• Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
• A shifted Legendre method for solving a population model and delay linear Volterra integro-differential equations
• Polynomial particular solutions for certain partial differential operators
• A Revisit on the Derivation of the Particular Solution for the Differential Operator ∆² ± λ²
• Numerical Analysis of an Optimal Control Problem Governed by the Stationary Navier-Stokes Equations with Global Velocity-Constrained

This page was built for publication: Method of particular solutions for second-order differential equation with variable coefficients via orthogonal polynomials