×
H.L Dershem. Approximation of Bessel's Differential Operator of Fractional Order by Finite-Difference Operators. Ph.D. Dissertation, Purdue University ...
“Approximation of Bessel's Differential. Operator of Fractional. Order by Finite-Difference. Operators,”. Ph.D. Dissertation,. Purdue University,. Lafayette, IN ...
Dec 1, 1971 · H. L. Dershem, Masters Thesis, Approximation of Bessel's differential operator of fractional order by finite-difference operators, Doctoral ...
Abstract:The article discusses the fractional powers of the Bessel operator and their numerical implementation. An extensive literature is devoted to the ...
Approximation of bessel's differential operator of fractional order by finite-difference operators. [...] Herbert L. Dershem. 31 Dec 1968. 2 citations. Save.
Oct 22, 2024 · In this paper, a new numerical algorithm to solve the linear and nonlinear fractional differential equations (FDE) is introduced.
A finite difference numerical method is investigated for fractional order diffusion problems in one space dimension. The basis of the mathematical model and the ...
The fractional power of this operator is introduced as a pseudo-differential operator through the multi-dimensional Bessel transform.
We introduce fractional-order Bessel functions (FBFs) to obtain an approximate solution for various kinds of differential equations.
The method works by first using the central finite difference approximation to approximate the Caputo derivative at any fixed point and then using the ...