Exact solutions of the 3D fractional Helmholtz equation by fractional differential transform method
From MaRDI portal
Publication:2672533
DOI10.1155/2022/7374751zbMath1491.35427OpenAlexW4224292209WikidataQ114067995 ScholiaQ114067995MaRDI QIDQ2672533
Salah Abuasad, Saleh Alshammari
Publication date: 10 June 2022
Published in: Journal of Function Spaces (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2022/7374751
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Solutions to PDEs in closed form (35C05) Fractional partial differential equations (35R11)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A note on fractional order derivatives and table of fractional derivatives of some special functions
- \((n + 1)\)-dimensional reduced differential transform method for solving partial differential equations
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Recent applications of fractional calculus to science and engineering
- Multigrid method for solution of 3D Helmholtz equation based on HOC schemes
- A regularized approach evaluating the near-boundary and boundary solutions for three-dimensional Helmholtz equation with wideband wavenumbers
- Auxiliary equation method for time-fractional differential equations with conformable derivative
- Adaptive BEM with optimal convergence rates for the Helmholtz equation
- \((N+1)\)-dimensional fractional reduced differential transform method for fractional order partial differential equations
- Fast multipole accelerated singular boundary method for the 3D Helmholtz equation in low frequency regime
- Finite difference method for solving fractional differential equations at irregular meshes
- Numerical methods for fractional-order Fornberg-Whitham equations in the sense of Atangana-Baleanu derivative
- Collocation methods for fractional differential equations involving non-singular kernel
- A fast singular boundary method for 3D Helmholtz equation
- Trapezoidal methods for fractional differential equations: theoretical and computational aspects
- A new approach for the approximate analytical solution of space-time fractional differential equations by the homotopy analysis method
- Modified fractional reduced differential transform method for the solution of multiterm time-fractional diffusion equations
- Novel investigation of fractional-order Cauchy-reaction diffusion equation involving Caputo-Fabrizio operator
- Application of He's homotopy perturbation method for multi‐dimensional fractional Helmholtz equation
- Extended two-dimensional DTM and its application on nonlinear PDEs with proportional delay
- Exponential rational function method for space–time fractional differential equations
- Modified Laplace decomposition method for fractional Volterra-Fredholm integro-differential equations
- Efficient and Accurate Numerical Solutions for Helmholtz Equation in Polar and Spherical Coordinates
This page was built for publication: Exact solutions of the 3D fractional Helmholtz equation by fractional differential transform method