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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2017 Number 12, Pages 35–45 (Mi ivm9307)

This article is cited in 4 papers

A finite difference method for the numerical solving general third-order boundary-value problem with an internal boundary condition

P. K. Pandey

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

Abstract: In this paper we have proposed a finite difference method for the numerical solving general third-order boundary-value problem. Under appropriate conditions we have discussed the convergence of the proposed method. The computational results in experiment on test problems verify the efficiency and theoretically established second order accuracy of the proposed method.

Keywords: boundary-value problem, difference method, nonlinear, second order sonvergence, three-point BVP.

UDC: 519.624

Received: 07.07.2016


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, 61:12, 29–38

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