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Computational and Applied Mathematics, 2023
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A fractional Tikhonov method for solving a Cauchy problem of Helmholtz equation
Applicable Analysis, 2016In this paper, we study a fractional Tikhonov regularization method (FTRM) for solving a Cauchy problem of Helmholtz equation in the frequency domain. On the one hand, the FTRM retains the advantage of classical Tikhonov method. On the other hand, our method can prevent the effect of oversmoothing of classical Tikhonov method and conveniently control ...
Zhi Qian, Xiaoli Feng
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A Computational Study of Local Fractional Helmholtz and Coupled Helmholtz Equations in Fractal Media
2023Devendra Kumar +3 more
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Inverse Random Source Scattering for the Helmholtz Equation with Attenuation
SIAM Journal on Applied Mathematics, 2021Peijun Li, Xu Wang
exaly
A fractional Tikhonov method for solving a Cauchy problem of Helmholtz equation
Applicable Analysis, 2017Xiaoli Feng, Zhi Qian
exaly
Determining a fractional Helmholtz equation with unknown source and scattering potential
Communications in Mathematical Sciences, 2019Xinlin Cao, Hongyu Liu
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Application of He's homotopy perturbation method for multi‐dimensional fractional Helmholtz equation
International Journal of Numerical Methods for Heat and Fluid Flow, 2012Ahmet Yildirim +2 more
exaly
Performance assesment of a fractional radiation boundary condition for the Helmholtz equation
2013Barucq, Hélène +2 more
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