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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Discrete variable methods for a boundary value problem with engineering applications


Author: Riaz A. Usmani
Journal: Math. Comp. 32 (1978), 1087-1096
MSC: Primary 65L10
MathSciNet review: 0483496
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Abstract: In this paper we develop numerical techniques of order 2, 4 and 6 for the solution of a fourth order linear equation. A priori error bound is obtained for the fourth order method to prove the convergence of the finite difference scheme. A sufficient condition guaranteeing the uniqueness of the solution of the boundary value problem is also given. Numerical illustrations are tabulated and results compared with the classical Runge-Kutta method.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1978-0483496-5
PII: S 0025-5718(1978)0483496-5
Article copyright: © Copyright 1978 American Mathematical Society