作者
Shu-Bo Chen, Samaneh Soradi-Zeid, Hemen Dutta, Mehdi Mesrizadeh, Hadi Jahanshahi, Yu-Ming Chu
发表日期
2021/3/1
期刊
Chaos, Solitons & Fractals
卷号
144
页码范围
110674
出版商
Pergamon
简介
The present paper aims to carry out a new scheme for solving a type of singularly perturbed boundary value problem with a second order delay differential equation. Getting through the solution, we used Reproducing Kernel Hilbert Space (RKHS) method as an efficient approach to obtain the analytical solution for ordinary or partial differential equations that appear in vast areas of science and engineering. A key of this method is to keeping the continuous form of problems. Indeed, without discretizing the continuous problem, we change it to an equivalent iterative form and proving its convergence. Also, we will present a construction of the reproducing kernel in Hilbert space that satisfying the homogeneous nonlinear boundary conditions of the considered problem. Accuracy amount of absolute error with respect to different parameters of singularity has been studied for the performance of this method by solving …
引用总数
20212022202320241533