Efficient algorithms for fourth and sixth-order two-point non-linear boundary value problems using non-polynomial spline approximations on a geometric mesh-Reference-Cited by-同舟云学术

Efficient algorithms for fourth and sixth-order two-point non-linear boundary value problems using non-polynomial spline approximations on a geometric mesh

Published:2014-11-04 Issue:2 Volume:35 Page:389-404
ISSN:0101-8205
Container-title:Computational and Applied Mathematics
language:en
Short-container-title:Comp. Appl. Math.

Author:

Jha Navnit,Mohanty R. K.,Chauhan Vinod

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s40314-014-0196-x.pdf

Reference37 articles.

1. Aftabizadeh AR (1986) Existence and uniqueness theorems for fourth-order boundary value problems. J Math Anal Appl 116:415–426

2. Agarwal RP, Krishnamoorthy PR (1979) Boundary value problems for nth order ordinary differential equations. Bull Inst Math Acad Sin 7:211–230

3. Agarwal RP, Akrivis G (1982) Boundary value problems occurring in plate defection theory. J Comput Appl Math 8:145–154

4. Britz D (2005) Digital simulation in electrochemistry. Lecture Notes Physics 666. Springer, Berlin

5. Budd CJ, Hunt GW, Peletier MA (1999) Self-similar fold evolution under prescribed end shortening. Math Geol 31:989–1005

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