A kernel regression approach for identification of first order differential equations based on functional data

A Legendre reproducing kernel method with higher convergence order for a class of singular two-point boundary value problems

(2021) Minqiang Xu et al.   Journal of Applied Mathematics and Computing

A Reproducing Kernel Method for Solving Systems of Integro-differential Equations with Nonlocal Boundary Conditions

(2021) M. Ghasemi et al.   Iranian Journal of Science and Technology Transaction A-Science

A new least‐squares‐based reproducing kernel method for solving regular and weakly singular Volterra‐Fredholm integral equations with smooth and nonsmooth solutions

(2021) Minqiang Xu et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Stability and approximation of solutions in new reproducing kernel Hilbert spaces on a semi‐infinite domain

(2021) Jabar S. Hassan et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Reproducing kernel functions based univariate spline interpolation

(2021) Fazhan Geng et al.   APPLIED MATHEMATICS LETTERS

Numerical investigation for Caputo-Fabrizio fractional Riccati and Bernoulli equations using iterative reproducing kernel method

(2021) Shaher Momani et al.   APPLIED NUMERICAL MATHEMATICS

A stable and efficient technique for linear boundary value problems by applying kernel functions

(2021) X.Y. Li et al.   APPLIED NUMERICAL MATHEMATICS

Reproducing kernel method to solve parabolic partial differential equations with nonlocal conditions

(2020) Tofigh Allahviranloo et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

A fourth-order least-squares based reproducing kernel method for one-dimensional elliptic interface problems

(2020) Minqiang Xu et al.   APPLIED NUMERICAL MATHEMATICS

Numerical solution of some initial optimal control problems using the reproducing kernel Hilbert space technique

(2018) F. Toutian Isfahani et al.   INTERNATIONAL JOURNAL OF CONTROL