Convergence Analysis of Finite Difference Method for Differential Equation

Negesse Yizengaw Alemu


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.


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

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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.


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