Study of Stability Analysis for a Class of Fourth Order Boundary Value Problems

C. Bala Rama Krishna, P. S. Rama Chandra Rao

Department of Mathematics, Chaitanya Degree College (Autonomous), Warangal, India.
Department of Mathematics, Kakatiya Institute of Technology & Science, Warangal, India.

DOI: 10.4236/am.2014.513182                

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.

Keywords

Numerical Differentiation, Initial Value Problem, Boundary Value Problem, Absolute Stability, Multistep Methods

Conflicts of Interest

The authors declare no conflicts of interest.

References

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