Sentence examples for in operational matrix from inspiring English sources

This partially motivates our interest in operational matrix of fractional integration for Laguerre polynomials.

This partially motivates our interest in the operational matrix of fractional integration for modified generalized Laguerre polynomials.

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

Operational matrix is a matrix that works on basis, such as an operator; in other words, if ( varLambda ) is an operator, an operational matrix is a matrix, such as P, such that ( varLambda (Phi )simeq P Phi ).

In the 'Laguerre operational matrix of fractional integration' subsection, the Laguerre operational matrix of fractional integration is introduced.

We introduce a suitable way to approximate fuzzy solution of linear fuzzy fractional differential equations by means of shifted Jacobi functions based on the fuzzy residual of the problem in which the Jacobi operational matrix is introduced to be applied in the derivation of the proposed method.

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

In this section the operational matrix of fractional integration for FSLPs will be derived.

In Section 3, the operational matrix of derivative of the proposed basis together with collocation method are used to reduce the nonlinear singular ordinary differential equation to a nonlinear algebraic equation that can be solved by Newton's method.

In Section 4, the operational matrix of fractional integrals and the properties of the shifted Jacobi orthonormal polynomials are used together with the help of the Legendre-Gauss quadrature formula and the Rayleigh-Ritz method to introduce an approximate solution for the fractional optimal control problem (1 - 2).

This operational matrix in conjunction with the exponential Jacobi spectral collocation method is utilized for reducing the solution of high-order ordinary differential equations on the semi-infinite interval to that of a system of algebraic equations, which may then be solved much more easily.