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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2013 Volume 53, Number 1, Page 72 (Mi zvmmf9794)

This article is cited in 11 papers

Fourth order finite difference method for sixth order boundary value problems

P. K. Pandey

Department of Mathematics, Dyal Singh College (University of Delhi) Lodhi Road, New Delhi-110003, India

Abstract: In the present paper, finite difference method is used to construct an approximate solution for the sixth order linear boundary value problems. Numerical examples are considered to illustrate the efficiency and convergence of the method. Numerical results show that proposed method is very effective, efficient, and fourth order accurate. Also fourth order accurate numerical value of second and fourth derivatives of solution, were obtained as by product of the proposed method.

Key words: Sixth order BVP, Finite difference method, fourth order method, numerical solution.

UDC: 519.63

Received: 25.04.2012
Revised: 21.06.2012

Language: English

DOI: 10.7868/S0044466913010110


 English version:
Computational Mathematics and Mathematical Physics, 2013, 53:1, 57–62

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