A novel meshfree method based on spatio-temporal homogenization functions for one-dimensional fourth-order fractional diffusion-wave equations
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Publication:6167239
DOI10.1016/j.aml.2023.108657MaRDI QIDQ6167239
Lin Qiu, Qing-Hua Qin, Xingdan Ma
Publication date: 7 July 2023
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Miscellaneous topics in partial differential equations (35Rxx)
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Cites Work
- Unnamed Item
- On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems
- A compact difference scheme for the fractional diffusion-wave equation
- Fractional calculus -- a new approach to the analysis of generalized fourth-order diffusion-wave equations
- Second kind shifted Chebyshev polynomials for solving space fractional order diffusion equation
- The fundamental solutions for the fractional diffusion-wave equation
- Nonlinear wave inverse source problem solved by a method of \(m\)-order homogenization functions
- An approximate solution for a fractional diffusion-wave equation using the decomposition method
- Local knot method for 2D and 3D convection-diffusion-reaction equations in arbitrary domains
- A homogenization function method for inverse heat source problems in 3D functionally graded materials
- A boundary meshless method for dynamic coupled thermoelasticity problems
- Singular boundary method for 2D and 3D heat source reconstruction
- A new collection of real world applications of fractional calculus in science and engineering
- Homogenization function method for time-fractional inverse heat conduction problem in 3D functionally graded materials
- A fast element-free Galerkin method for the fractional diffusion-wave equation
- Analysis of transient wave propagation dynamics using the enriched finite element method with interpolation cover functions
- A high-order scheme to approximate the Caputo fractional derivative and its application to solve the fractional diffusion wave equation
- A fully discrete difference scheme for a diffusion-wave system
- Performance of the radial point interpolation method (RPIM) with implicit time integration scheme for transient wave propagation dynamics
- Solving a fourth-order fractional diffusion-wave equation in a bounded domain by decomposition method
- Recent Advances and Emerging Applications of the Singular Boundary Method for Large-Scale and High-Frequency Computational Acoustics
- Integrating Krylov Deferred Correction and Generalized Finite Difference Methods for Dynamic Simulations of Wave Propagation Phenomena in Long-Time Intervals
- Singular boundary method: a review and computer implementation aspects
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