A Unified Reproducing Kernel Method and Error Estimation for Solving Linear Differential Equation with Functional Constraints
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-10
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A unified reproducing kernel method for solving linear differential equations with functional constraint is provided.
We use a specified inner product to obtain a class of piecewise polynomial reproducing kernels which have a simple unified description.
Arbitrary order linear differential operator is proved to be bounded about the special inner product.
Based on space decomposition, we present the expressions of exact solution and approximate solution of linear differential equation by the polynomial reproducing kernel.
Error estimation of approximate solution is investigated.
Since the approximate solution can be described by polynomials, it is very suitable for numerical calculation.
American Psychological Association (APA)
Zhang, Xinjian& Liu, Xiongwei. 2015. A Unified Reproducing Kernel Method and Error Estimation for Solving Linear Differential Equation with Functional Constraints. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1074818
Modern Language Association (MLA)
Zhang, Xinjian& Liu, Xiongwei. A Unified Reproducing Kernel Method and Error Estimation for Solving Linear Differential Equation with Functional Constraints. Mathematical Problems in Engineering No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1074818
American Medical Association (AMA)
Zhang, Xinjian& Liu, Xiongwei. A Unified Reproducing Kernel Method and Error Estimation for Solving Linear Differential Equation with Functional Constraints. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1074818
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074818