Your English writing platform
Discover LudwigExact(2)
Then, the derivative operational matrix of exponential Jacobi functions is derived and proved.
In this section, we use the derivative operational matrix of Hahn polynomials for solving (1) with initial and boundary conditions (2) and (3).
Similar(58)
Saadatmandi and Dehghan [17] and Doha et al. [18] extended the operational matrices method and derived operational matrices of fractional derivatives for orthogonal polynomials and used it for solving different types of FDEs.
In this paper, we derived the operational matrix of derivative of exponential Jacobi functions.
In this section we first derive the operational matrix D of derivative which plays a great role in dealing with Bratu's problem.
It seems that Hilfer et al. [1, 34] have initially proposed linear differential equations with the new fractional operator, the Hilfer fractional derivative, and applied operational calculus to solve such simple fractional differential equations.
In this article, we aim to derive the operational matrix of Caputo fractional derivatives of MGLP.
In what follows, we derive the operational matrix of Caputo fractional derivatives for MGLP.
3, we derive the operational matrix of the V-OF derivative for the shifted Legendre polynomials.
Denoised signals are then used to develop shape signals according to the second derivative of the operational mode shapes at frequencies in the half-power bandwidth of the center resonant frequencies.
As taking derivative in the operational domain is equivalent to high-pass filtering in frequency domain, which may help amplifying the noise effect.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com