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Pseudospectral Chebyshev Approximation for Solving Fourth–Order Boundary Value Proble

M. El-Kady , H. Bakheet, M. Khalil

Abstract


Numerical solution of fourth-order boundary value problem is discussed in this paper. An example of a higher order method (Chebyshev collocation) applied to the study of a problem of bending rectangular clamped beam. The proposed method depends on using the higher-order pseudospectral differential matrices by using an explicit formula for higher order derivatives of Chebyshev polynomials. Two examples which are governed by fourth order differential equations are employed to illustrate the proposed method.

Keywords


Chebyshev approximations, differentiation matrix, fourth-order, boundary value problems

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