Two linearized schemes for time fractional nonlinear wave equations with fourth-order derivative
From MaRDI portal
Publication:2053240
DOI10.1007/s12190-020-01449-xzbMath1475.65072OpenAlexW3096620311MaRDI QIDQ2053240
Jingna Zhang, Jianfei Huang, Sadia Arshad, Zhi Qiao, Yi-Fa Tang
Publication date: 29 November 2021
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-020-01449-x
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Related Items
Efficient numerical algorithm with the second-order time accuracy for a two-dimensional nonlinear fourth-order fractional wave equation, A new fifth-order iterative method free from second derivative for solving nonlinear equations
Cites Work
- Unnamed Item
- An energy conservative difference scheme for the nonlinear fractional Schrödinger equations
- On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems
- Convolution quadrature and discretized operational calculus. I
- Spectral deferred correction methods for ordinary differential equations
- A unified numerical scheme for the multi-term time fractional diffusion and diffusion-wave equations with variable coefficients
- A second-order compact difference scheme for the fourth-order fractional sub-diffusion equation
- Trapezoidal scheme for time-space fractional diffusion equation with Riesz derivative
- New compact difference scheme for solving the fourth-order time fractional sub-diffusion equation of the distributed order
- A numerical assessment of parabolic partial differential equations using Haar and Legendre wavelets
- Recent advances in the study of a fourth-order compact scheme for the one-dimensional biharmonic equation
- Efficient methods for nonlinear time fractional diffusion-wave equations and their fast implementations
- A second order BDF alternating direction implicit difference scheme for the two-dimensional fractional evolution equation
- A non-polynomial numerical scheme for fourth-order fractional diffusion-wave model
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Numerical algorithms with high spatial accuracy for the fourth-order fractional sub-diffusion equations with the first Dirichlet boundary conditions
- Haar wavelet collocation method for three-dimensional elliptic partial differential equations
- Quintic B-spline method for time-fractional superdiffusion fourth-order differential equation
- Fast iterative method with a second-order implicit difference scheme for time-space fractional convection-diffusion equation
- Finite difference schemes for two-dimensional time-space fractional differential equations
- A new implicit compact difference scheme for the fourth-order fractional diffusion-wave system
- Discretized Fractional Calculus
- Solving a fourth-order fractional diffusion-wave equation in a bounded domain by decomposition method
- An efficient numerical treatment of fourth‐order fractional diffusion‐wave problems
- Numerical Solution of Diffusion and Reaction–Diffusion Partial Integro-Differential Equations
- Compact Difference Scheme for Time-Fractional Fourth-Order Equation with First Dirichlet Boundary Condition
- Convolution Quadrature Methods for Time-Space Fractional Nonlinear Diffusion-Wave Equations
- A Compact Difference Scheme for Fourth-Order Temporal Multi-Term Fractional Wave Equations and Maximum Error Estimates
- A COMPACT DIFFERENCE SCHEME FOR FOURTH-ORDER FRACTIONAL SUB-DIFFUSION EQUATIONS WITH NEUMANN BOUNDARY CONDITIONS
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems
- Fractional Equations and Models
- Alternating Direction Implicit Schemes for the Two-Dimensional Time Fractional Nonlinear Super-Diffusion Equations
- Fractional differentiation matrices with applications
- A class of second order difference approximations for solving space fractional diffusion equations
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Fractional Calculus