Studies on the Method of Orthogonal Collocation IV. Laguerre and Hermite Orthogonal Collocation Method
M.A. Soliman
Abstract
Open-access reader
M.A. Soliman
Abstract
Open-access reader
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.
OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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