Sentence examples for utilizing the operational matrix from inspiring English sources

Sequentially, the functions and components of the pricing models are discretized by utilizing the operational matrix of fractional integration of Legendre wavelets.

The exclusivities of hybrid functions with the operational matrix are used to convert the FDE to an algebraic equation, and then, are utilized to evaluate the upon expanding unknown function by the basis functions with unknown coefficients.

The operational matrix of derivative of Chebyshev wavelets is introduced.

Here (D^{1}) denotes the operational matrix of first order.

In section "Operational matrix of derivatives for Hahn polynomials", the operational matrix of VO fractional derivative for the Hahn polynomials is derived.

In Section 2, we introduce the Laguerre wavelets and the operational matrix of integration.

3, we derive the operational matrix of the V-OF derivative for the shifted Legendre polynomials.

In this article, we aim to derive the operational matrix of Caputo fractional derivatives of MGLP.

3, and we will solve two fractional-order equations using the operational matrix in Sect.

In this paper, we derived the operational matrix of derivative of exponential Jacobi functions.

The operational matrix of integration of the sine-cosine wavelet has been derived by [30].