Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8054118 | Applied Mathematics Letters | 2018 | 12 Pages |
Abstract
Based on the piecewise polynomial reproducing kernels, the authors presented the reproducing kernel method(RKM) for nonlocal boundary value problems. In this paper, we will present an optimal RKM for linear nonlocal boundary value problems by combining the piecewise polynomial kernel with polynomial kernel. The method is of high accuracy. Also, the method can avoid reducing the inhomogeneous boundary conditions to homogeneous boundary conditions and constructing reproducing kernel satisfying corresponding homogeneous boundary conditions. Numerical examples are included to demonstrate the validity of the new method.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
F.Z. Geng, S.P. Qian,