The Convergence of Geometric Mesh Cubic Spline Finite Difference Scheme for Nonlinear Higher Order Two-Point Boundary Value Problems
Joint Authors
Mohanty, R. K.
Jha, Navnit
Chauhan, Vinod
Source
International Journal of Computational Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-23
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
An efficient algorithm for the numerical solution of higher (even) orders two-point nonlinear boundary value problems has been developed.
The method is third order accurate and applicable to both singular and nonsingular cases.
We have used cubic spline polynomial basis and geometric mesh finite difference technique for the generation of this new scheme.
The irreducibility and monotone property of the iteration matrix have been established and the convergence analysis of the proposed method has been discussed.
Some numerical experiments have been carried out to demonstrate the computational efficiency in terms of convergence order, maximum absolute errors, and root mean square errors.
The numerical results justify the reliability and efficiency of the method in terms of both order and accuracy.
American Psychological Association (APA)
Jha, Navnit& Mohanty, R. K.& Chauhan, Vinod. 2014. The Convergence of Geometric Mesh Cubic Spline Finite Difference Scheme for Nonlinear Higher Order Two-Point Boundary Value Problems. International Journal of Computational Mathematics،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-478839
Modern Language Association (MLA)
Jha, Navnit…[et al.]. The Convergence of Geometric Mesh Cubic Spline Finite Difference Scheme for Nonlinear Higher Order Two-Point Boundary Value Problems. International Journal of Computational Mathematics No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-478839
American Medical Association (AMA)
Jha, Navnit& Mohanty, R. K.& Chauhan, Vinod. The Convergence of Geometric Mesh Cubic Spline Finite Difference Scheme for Nonlinear Higher Order Two-Point Boundary Value Problems. International Journal of Computational Mathematics. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-478839
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-478839