Lobatto-reproducing kernel method for solving a linear system of second order boundary value problems
type: Item
instance of: scholarly article
title: Lobatto-reproducing kernel method for solving a linear system of second order boundary value problems
author: Jian Zhang
author: Jing Niu
published in: Journal of Applied Mathematics and Computing
publication date: 2022-12-13T00:00:00Z
Mathematics Subject Classification ID: 33F05
Mathematics Subject Classification ID: 34K10
zbMATH DE Number: 7632318
zbMATH Keywords: reproducing kernel method
zbMATH Keywords: Lobatto orthogonal polynomials
zbMATH Keywords: Legendre polynomials
zbMATH Keywords: boundary value problems
MaRDI profile type: Publication
full work available at URL: s12190-021-01685-9
OpenAlex ID: W4200471669
cites work: Existence of positive solutions for a class of second-order ordinary differential systems
cites work: An existence and uniqueness theorem for a second order nonlinear system with coupled integral boundary value conditions
cites work: B-spline method for solving linear system of second-order boundary value problems
cites work: Modified reproducing kernel method for singularly perturbed boundary value problems with a delay
cites work: A reproducing kernel method for solving heat conduction equations with delay
cites work: A new reproducing kernel method with higher convergence order for solving a Volterra-Fredholm integral equation
cites work: A stable least residue method in reproducing kernel space for solving a nonlinear fractional integro-differential equation with a weakly singular kernel
cites work: A reproducing kernel method for nonlinear C-q-fractional IVPs
cites work: A new least‐squares‐based reproducing kernel method for solving regular and weakly singular Volterra‐Fredholm integral equations with smooth and nonsmooth solutions
cites work: A meshless method in reproducing kernel space for solving variable-order time fractional advection-diffusion equations on arbitrary domain
cites work: Reproducing kernel functions based univariate spline interpolation
cites work: Solving a nonlinear system of second order boundary value problems
cites work: Homotopy perturbation-reproducing kernel method for nonlinear systems of second order boundary value problems
cites work: Variational iteration method for solving a nonlinear system of second-order boundary value problems
cites work: The numerical solution of a nonlinear system of second-order boundary value problems using the sinc-collocation method
cites work: Numerical solution of nonlinear system of second-order boundary value problems using cubic B-spline scaling functions
cites work: Modified homotopy analysis method for solving systems of second-order BVPs
cites work: Application of He's homotopy perturbation method for non-linear system of second-order boundary value problems
cites work: Numerical solution of the system of second-order boundary value problems using the local radial basis functions based differential quadrature collocation method
cites work: Numerical solution of systems of second-order boundary value problems using continuous genetic algorithm
cites work: Best approximation in inner product spaces
cites work: Simplified reproducing kernel method for fractional differential equations with delay
DOI: 10.1007/S12190-021-01685-9
description: scientific article; zbMATH DE number 7632318