Results 221 to 230 of about 1,485,427 (242)

The global uniqueness of a dissipative fractional Helmholtz equation

Chaos, Solitons & Fractals, 2023
In this paper, we consider the Dirichlet problem of the fractional Helmholtz equation with dissipation, as well as study the inverse problem of determining the source function, potential function and dissipation of the equation by Dirichlet to Neumann (DtN) map and Runge approximation.
WENJING ZHANG, YU ZHANG
openaire   +1 more source

Fast algorithm for solving fractional Helmholtz equation with spectral fractional Laplacian

Fourth International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2024)
Yi Yang, Jin Huang, Hu Li
exaly   +2 more sources

A posteriori error estimations of the Petrov-Galerkin methods for fractional Helmholtz equations

Numerical Algorithms, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenting Mao, Yanping Chen 0002, Huasheng Wang   +2 more
openaire   +2 more sources

Preconditioning Technique Based on Sine Transformation for Nonlocal Helmholtz Equations with Fractional Laplacian

Journal of Scientific Computing, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tian-Yi Li 0002, Fang Chen, Hai-Wei Sun, Tao Sun 0015   +3 more
openaire   +2 more sources

Cylinderically Isotropic Fractional Helmholtz Equation

SSRN Electronic Journal, 2018
Cylindrically symmetric fractional Helmholtz equation is analytically solved in an isotropic medium. The solution approach is based on the Caputo fractional derivatives. The general solution is based on fractional Bessel function attached to particular azimuthal and longitudal exponents.
Mazen S. Nairat, Mohammed Shqair
openaire   +1 more source

Fractional solutions of Helmholtz equation in scattering problems

The Fifth International Kharkov Symposium on Physics and Engineering of Microwaves, Millimeter, and Submillimeter Waves (IEEE Cat. No.04EX828), 2004
In this paper we introduce a new definition for fractional derivatives of function /spl psi/(r~) which satisfies the homogeneous Helmholtz equation. It is shown, that we have come to such a presentation after consideration of "fractional" solutions of ordinary Helmholtz equation. Also "fractional boundary conditions" are introduced.
T.M. Ahmedov, M.V. Ivakhnychenko, E.I. Veliev   +2 more
openaire   +1 more source

From a generalised Helmholtz decomposition theorem to fractional Maxwell equations

Communications in Nonlinear Science and Numerical Simulation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Manuel Duarte Ortigueira, Margarita Rivero, Juan J. Trujillo   +2 more
openaire   +2 more sources

Asymptotic Methods for Fractional Helmholtz Equations in the High Frequency Regime

Journal of Scientific Computing
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yijin Gao, Songting Luo
openaire   +2 more sources

On Fractional Helmholtz Equations

2012
In this paper we derive an analytic solution for the fractional Helmholtz equation in terms of the Mittag-Leffler function. The solutions to the fractional Poisson and the Laplace equations of the same kind are obtained, again represented by means of the Mittag-Leffler function.
Samuel, M., Thomas, Anitha
openaire   +1 more source

Approximate Solution of Time-Fractional Helmholtz and Coupled Helmholtz Equations

2020
The approximate analytical solution of the time-fractional Helmholtz and coupled Helmholtz equations have been acquired successfully via Residual Power Series Method (RPSM). The approximate solutions obtained by RPSM are compared with the exact solutions through different graphics and tables. The fractional derivatives are described in the Caputo sense.
BAYRAK, MİNE AYLİN, Tetik, Semiha
openaire   +1 more source