CONVERGENCE ORDER OF THE REPRODUCING KERNEL METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS
From MaRDI portal
Publication:5011632
DOI10.3846/13926292.2016.1183240zbMath1488.34339OpenAlexW2461151015MaRDI QIDQ5011632
Ying-Zhen Lin, Zhihong Zhao, Jing Niu
Publication date: 27 August 2021
Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3846/13926292.2016.1183240
Analysis of algorithms (68W40) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear differential equations in abstract spaces (34G10)
Related Items (24)
A new reproducing kernel method for Duffing equations ⋮ A new method for high-order boundary value problems ⋮ Simplified reproducing kernel method and convergence order for linear Volterra integral equations with variable coefficients ⋮ Piecewise reproducing kernel-based symmetric collocation approach for linear stationary singularly perturbed problems ⋮ Numerical solution of fractional differential equations with temporal two-point BVPs using reproducing kernal Hilbert space method ⋮ Simplified reproducing kernel method for impulsive delay differential equations ⋮ A numerical solution for variable order fractional functional differential equation ⋮ Numerical solution of nonlinear singular boundary value problems ⋮ A new reproducing kernel method with higher convergence order for solving a Volterra-Fredholm integral equation ⋮ A generalized collocation method in reproducing kernel space for solving a weakly singular Fredholm integro-differential equations ⋮ A new multiscale algorithm for solving second order boundary value problems ⋮ A stable least residue method in reproducing kernel space for solving a nonlinear fractional integro-differential equation with a weakly singular kernel ⋮ A new algorithm based on improved Legendre orthonormal basis for solving second-order BVPs ⋮ A simplified reproducing kernel method for 1-D elliptic type interface problems ⋮ Solutions of integral equations by reproducing kernel Hilbert space method ⋮ A New Approach for Solving Nonlinear Singular Boundary Value Problems ⋮ A Novel Method for Nonlinear Boundary Value Problems Based on Multiscale Orthogonal Base ⋮ Laguerre reproducing kernel method in Hilbert spaces for unsteady stagnation point flow over a stretching/shrinking sheet ⋮ A NEW NUMERICAL METHOD TO SOLVE NONLINEAR VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS ⋮ A reproducing kernel method for nonlinear C-q-fractional IVPs ⋮ Numerical method and convergence order for second-order impulsive differential equations ⋮ An algorithm of the boundary value problem based on multiscale orthogonal compact base ⋮ A new piecewise reproducing kernel function algorithm for solving nonlinear Hamiltonian systems ⋮ Reproducing kernel method in Hilbert spaces for solving the linear and nonlinear four-point boundary value problems
Cites Work
- Unnamed Item
- A reproducing kernel method for solving nonlocal fractional boundary value problems
- A novel method for solving a class of singularly perturbed boundary value problems based on reproducing kernel method
- A numerical solution to nonlinear second order three-point boundary value problems in the reproducing kernel space
- Reproducing kernel method for solving nonlinear differential-difference equations
- Solving the generalized regularized long wave equation on the basis of a reproducing kernel space
- Numerical method for solving the nonlinear four-point boundary value problems
- Nonlocal boundary problems for a third-order one-dimensional nonlinear pseudoparabolic equation
- The exact solution of a linear integral equation with weakly singular kernel
- A numerical algorithm for solving a class of linear nonlocal boundary value problems
- Multi-point Taylor approximations in one-dimensional linear boundary value problems
- A new reproducing kernel Hilbert space method for solving nonlinear fourth-order boundary value problems
- Solving singular second order three-point boundary value problems using reproducing kernel Hilbert space method
- Numerical algorithm for the third-order partial differential equation with three-point boundary value problem
- A novel method for nonlinear boundary value problems
- Solving singular boundary-value problems of higher even-order
- APPROXIMATE SOLUTION OF NONLINEAR MULTI-POINT BOUNDARY VALUE PROBLEM ON THE HALF-LINE
- Numerical solution of nonlinear three-point boundary value problem on the positive half-line
- A COMPUTATIONAL METHOD FOR NONLINEAR 2M‐TH ORDER BOUNDARY VALUE PROBLEMS
- Theoretical Numerical Analysis
- A REPRODUCING KERNEL METHOD FOR SOLVING A CLASS OF NONLINEAR SYSTEMS OF PDES
This page was built for publication: CONVERGENCE ORDER OF THE REPRODUCING KERNEL METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS