Title of article
Mixed reproducing kernel-based iterative approach for nonlinear boundary value problems with nonlocal conditions
Author/Authors
Li, Xiuying School of Mathematics and Statistics - Changshu Institute of Technology - Suzhou - Jiangsu 215500 - China - School of Mathematics and Statistics - University of South Florida - Tampa - Florida 33620 - USA , Gao, Yang School of Mathematics and Statistics - Changshu Institute of Technology - Suzhou - Jiangsu 215500 - China , Wu, Boying School of Mathematical Sciences - Harbin Institute of Technology - Harbin - Heilongjiang 150001, China
Pages
10
From page
649
To page
658
Abstract
In this paper, a mixed reproducing kernel function (RKF) is introduced. The kernel
function consists of piecewise polynomial kernels and polynomial kernels. On the
basis of the mixed RKF, a new numerical technique is put forward for solving non-
linear boundary value problems (BVPs) with nonlocal conditions. Compared with
the classical RKF-based methods, our method is simpler since it is unnecessary to
convert the original equation to an equivalent equation with homogeneous boundary
conditions. Also, it is not required to satisfy the homogeneous boundary conditions
for the used RKF. Finally, the higher accuracy of the method is shown via several numerical tests.
Keywords
Reproducing kernel method , Nonlocal conditions , Iterative methods
Journal title
Computational Methods for Differential Equations
Serial Year
2021
Record number
2665556
Link To Document