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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.
The proposed method is a collocation method based on the Bessel polynomials and the operational matrix of derivatives, which transformed equations into a system ...
A finite difference numerical method is investigated for fractional order diffusion problems in one space dimension. The basis of the mathematical model and the ...
Oct 22, 2024 · In this paper, a new numerical algorithm to solve the linear and nonlinear fractional differential equations (FDE) is introduced.
The fractional power of this operator is introduced as a pseudo-differential operator through the multi-dimensional Bessel transform.
This paper presents an improved, new numerical scheme for approximating the solution of LSVI-FDEs with constant coefficients including trapezoidal rules using a ...