Direct Computation of Operational Matrices for Polynomial Bases

Osvaldo Guimarães, José Roberto C. Piqueira and Marcio Lobo Netto

Mathematical Problems in Engineering, 2010, vol. 2010, 1-12

Abstract:

Several numerical methods for boundary value problems use integral and differential operational matrices, expressed in polynomial bases in a Hilbert space of functions. This work presents a sequence of matrix operations allowing a direct computation of operational matrices for polynomial bases, orthogonal or not, starting with any previously known reference matrix. Furthermore, it shows how to obtain the reference matrix for a chosen polynomial base. The results presented here can be applied not only for integration and differentiation, but also for any linear operation.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:139198

DOI: 10.1155/2010/139198

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