Fourth order orthogonal spline collocation methods for two-point boundary value problems with interfaces-Reference-Cited by-同舟云学术

Fourth order orthogonal spline collocation methods for two-point boundary value problems with interfaces

Published:2022-08-16 Issue:1 Volume:31 Page:791-819
ISSN:0971-3611
Container-title:The Journal of Analysis
language:en
Short-container-title:J Anal

Author:

Bhal Santosh Kumar^ORCID,Mohanty Sahasransu,Nandi Ashish Kumar

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s41478-022-00466-2.pdf

Reference14 articles.

1. Aitbayev, R. 2013. Existence and uniqueness for a two-point interface boundary value problem. Electronic Journal of Differential Equations 242: 1–12. https://ejde.math.txstate.edu/Volumes/2013/242/aitbayev.pdf. Accessed 27 Mar 2022.

2. Aitbayev, R., and N. Yergaliyeva. 2014. A fourth-order collocation scheme for two-point interface boundary value problems. Advances in Numerical Analysis 2014: 1–8. https://doi.org/10.1155/2014/875013.

3. Ascher, U., S. Pruess, and R.D. Russell. 1983. On spline basis selection for solving differential equations. SIAM Journal on Numerical Analysis 20: 121–142. https://doi.org/10.1137/0720009.

4. Bialecki, B., and G. Fairweather. 2001. Orthogonal spline collocation methods for partial differential equations. Journal of Computational and Applied Mathematics 128: 55–82. https://doi.org/10.1016/s0377-0427(00)00509-4.

5. Díaz, J.C., G. Fairweather, and P. Keast. 1983. Algorithm 603: COLROW and ARCECO: Fortran packages for solving certain almost block diagonal linear systems by modified alternate row and column elimination. ACM Transactions on Mathematical Software 9: 376–380. https://doi.org/10.1145/356044.356054.