TITLE:
Study of Stability Analysis for a Class of Fourth Order Boundary Value Problems
AUTHORS:
C. Bala Rama Krishna, P. S. Rama Chandra Rao
KEYWORDS:
Numerical Differentiation, Initial Value Problem, Boundary Value Problem, Absolute Stability, Multistep Methods
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.13,
July
8,
2014
ABSTRACT: Fourth order differential equations are considered to develop the class
of methods for the numerical solution of boundary value problems. In this
paper, we have discussed the regions of absolute stability of fourth order
boundary value problems. Methods proposed and derived in this paper are applied
to solve a fourth-order boundary value problem. Numerical results are given to
illustrate the efficiency of our methods and compared with exact solution.