A Conventional Approach for the Solution of the Fifth Order Boundary Value Problems Using Sixth Degree Spline Functions

Parcha Kalyani, Patibanda S. Rama Chandra Rao, Ammiraju Sowbhagya Madhusudhan Rao

Kakatiya Institute of Technology and Sciences, Warangal, India.
Varadha Reddy College of Engineering, Warangal, India.

DOI: 10.4236/am.2013.44082                

Abstract

In this communication we have used Bickley’s method for the construction of a sixth order spline function and apply it to solve the linear fifth order differential equations of the form y^x(x)+g (x)y(x)= r(x) where g(x) and r(x) are given functions with the two different problems of different boundary conditions. The method is illustrated by applying it to solve some problems to demonstrate the application of the methods discussed.

Keywords

Cubic Spline; Tridiagonal; Conventional Approach

Conflicts of Interest

The authors declare no conflicts of interest.

References

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