A new method for solving singular fourth-order boundary value problems with mixed boundary conditions

Numerical Solution of a Class of Time-Fractional Order Diffusion Equations in a New Reproducing Kernel Space

“…e main technique of the piecewise reproducing kernel method see Ref. [ More about convergence theorem and error estimation, those detailed proof can be seen in [23][24][25][26].…”

Solving a class of linear nonlocal boundary value problems using the reproducing kernel

“…In this work, we give a new numerical algorithm to solve (2) in the reproducing kernel, We don't put the homogenization conditions into the reproducing kernel space. We avoid to compute the reproducing kernel satisfying boundary conditions and the orthogonal system.…”

“…[2][3][4][6][7][8][9][10][11][12][13][14][15]). This paper is concerned with a new algorithm for giving the approximate solution of a class of multi-point boundary value problems in the reproducing kernel space.…”

Solving a Class of Singular Fifth-Order Boundary Value Problems Using Reproducing Kernel Hilbert Space Method

“…The aim of this work is to fill this gap. In [8], we give a new reproducing kernel Hilbert space for solving singular linear fourth-order boundary value problems with mixed boundary conditions. In this paper, we use the new reproducing kernel Hilbert function space method to solve the nonlinear fifthorder boundary value problems.…”