Discrete variable methods for a boundary value problem with engineering applications
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- by Riaz A. Usmani PDF
- Math. Comp. 32 (1978), 1087-1096 Request permission
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.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Math. Comp. 32 (1978), 1087-1096
- MSC: Primary 65L10
- DOI: https://doi.org/10.1090/S0025-5718-1978-0483496-5
- MathSciNet review: 0483496