An Exponential Spline Difference Scheme for Solving a Class of Boundary Value Problems of Second-Order Ordinary Differential Equations
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-28
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
In this paper, we mainly study an exponential spline function space, construct a basis with local supports, and present the relationship between the function value and the first and the second derivative at the nodes.
Using these relations, we construct an exponential spline-based difference scheme for solving a class of boundary value problems of second-order ordinary differential equations (ODEs) and analyze the error and the convergence of this method.
The results show that the algorithm is high accurate and conditionally convergent, and an accuracy of 1/240h6 was achieved with smooth functions.
American Psychological Association (APA)
Cao, Dunqian. 2020. An Exponential Spline Difference Scheme for Solving a Class of Boundary Value Problems of Second-Order Ordinary Differential Equations. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1153373
Modern Language Association (MLA)
Cao, Dunqian. An Exponential Spline Difference Scheme for Solving a Class of Boundary Value Problems of Second-Order Ordinary Differential Equations. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-16.
https://search.emarefa.net/detail/BIM-1153373
American Medical Association (AMA)
Cao, Dunqian. An Exponential Spline Difference Scheme for Solving a Class of Boundary Value Problems of Second-Order Ordinary Differential Equations. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1153373
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1153373