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Another one is based on using operational matrix of derivatives in order to reduce the problem into solving a system of linear or nonlinear algebraic equations.
Spectral methods (see, for instance, [25 29]), based on using operational matrices, have been implemented in various problems such as fractional differential equations [30, 31], fractional optimal control problems [32], Lane-Emden equation [33, 34], and various integral equations [35].
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In this section, we present a numerical spectral tau algorithm for solving the fractional-order linear Bagley-Torvik equation based on using the constructed Fermat operational matrix of derivatives.
Introducing a new operational matrix of derivatives based on using shifted Legendre polynomials and harmonic numbers.
Our main objectives in the present paper are: Introducing a new operational matrix of derivatives based on using shifted Legendre polynomials and harmonic numbers.
In this study, a new retrieval strategy for fine-to-moderate resolution multiangle observations was developed, based on the operational sequence used to retrieve the Moderate Resolution Imaging Spectroradiometer (MODIS) Collection 5 reflectance and BRDF/albedo products.
Therefore, a calibrated predictive model must be based on one specific operational definition of measure for each measure used to establish the calibrated predictive model.
The first method used a rule-based algorithm based on operational definitions of moderate and severe periodontitis outlined by the American Academy of Periodontology (AAP) and the Centers for Disease Control and Prevention CDCC) (19).
For more dynamic teamwork or multimodal or multidevice data entry, using systems based on Operational Transformation (OT) would likely enhance the user experience.
In order to use the tau method based on the operational matrix of fractional integration for modified generalized Laguerre for solving the fully integrated problem (22) with initial conditions (20), we approximate u ( x ) and g ( x ) by the modified generalized Laguerre polynomials as (23).
Based on published operational characteristics of the tests used in this study, the expected net sensitivity and specificity of both the rapid test and ELISA algorithms are 100%.
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