Finite Difference Method for a Second-order Ordinary Differential Equation with a Boundary Condition of the Third Kind

Abstract: We present a second-order finite difference method for obtaining a solution of a second order two-point boundary value problem subject to Sturm's boundary conditions. We use equidistant discretization points, and the discretization of the differential equation at an interior point is based on just two evaluations of the function. Numerical examples are considered and the convergence of the proposed method is proved computationally.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Finite Difference Method for a Second-order Ordinary Differential Equation with a Boundary Condition of the Third Kind ; volume:10 ; number:1 ; year:2010 ; pages:109-116
Computational methods in applied mathematics ; 10, Heft 1 (2010), 109-116

Creator
Pandey, P.K.

DOI
10.2478/cmam-2010-0006
URN
urn:nbn:de:101:1-2410261626460.974800191057
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:26 AM CEST

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Associated

  • Pandey, P.K.

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