2000Journal of King Saud University - Engineering SciencesOpen access

Studies on the Method of Orthogonal Collocation IV. Laguerre and Hermite Orthogonal Collocation Method

M.A. Soliman

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Abstract

Differential equations for which the zeros of Laguerre and Hermite polynomials are suitable collocation points are identified. It is shown that the equations representing tubular reactors with axial dispersion can be solved efficiently using the zeros of Laguerre polynomials to obtain the inlet concentration.

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Differential equations for which the zeros of Laguerre and Hermite polynomials are suitable collocation points are identified. It is shown that the equations representing tubular reactors with axial dispersion can be solved efficiently using the zeros of Laguerre polynomials to obtain the inlet concentration.

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Available abstract

Differential equations for which the zeros of Laguerre and Hermite polynomials are suitable collocation points are identified. It is shown that the equations representing tubular reactors with axial dispersion can be solved efficiently using the zeros of Laguerre polynomials to obtain the inlet concentration.

Key concepts: Laguerre polynomials, Orthogonal collocation, Hermite polynomials, Mathematics, Orthogonal polynomials, Collocation (remote sensing), Laguerre's method, Collocation method

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