Convergence Analysis of Finite Difference Method for Differential Equation

Negesse Yizengaw Alemu

Abstract


In this paper, convergence analysis of a finite difference method for the linear second order boundary value ordinary differential equation is determined by investigating basic key concepts such as consistency and stability by using the maximum norm.


Keywords


Finite difference method; Differential equation; Error; stability; Consistency.

Full Text:

PDF

References


M. Kumar, et al. An introduction to numerical methods for the solutions of partial differential equation. “Applied Mathematics”. 2011, Vol. 2, pp. 1327-1338. doi:10.4236/am.2011.211186.

M.S. Rehman, et al. New iterative method for solution of system of linear differential equation. “International Journal of Science and Research”. 2013, pp. 2319-7064.

P.Kalyani, et al. Numerical solution of heat equation through double interpolation. “IOSR Journal of Mathematics”. 2013, pp. 58-62.

R.L. Burden, et al. Numerical Analysis. 9th edition. 2010, Brooks/Cole.

Colletz, L. The numerical treatment of differential equations. 1966, 3rd edition. Berlin: Springer-Verlag.

R. Ferng. 1995. Lecture Notes on Numerical Analysis.

J.H. Mathews, et al. Numerical methods using MATLAB. 3rd edition, 1999, Upper Saddle River.

R. Lakshmi, et al. Numerical solutions for boundary value problem using finite difference method. IJIRSET, 2013, Vol.2, pp.5305-5313.


Refbacks

  • There are currently no refbacks.

Comments on this article

View all comments


 
 
  
 

 

  


About IJSBAR | Privacy PolicyTerms & Conditions | Contact Us | DisclaimerFAQs 

IJSBAR is published by (GSSRR).