A linearized finite difference scheme for time-space fractional nonlinear diffusion-wave equations with initial singularity

DOI10.1515/ijnsns-2021-0388OpenAlexW4302774384MaRDI QIDQ6073518

Jianfei Huang, Emadidin Gahalla Mohmed Elmahdi

Publication date: 11 October 2023

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2021-0388

zbMATH Keywords

stabilityconvergenceinitial singularitylinearized schemefractional nonlinear diffusion-wave equations

Mathematics Subject Classification ID

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)

Cites Work

• Unnamed Item
• An energy conservative difference scheme for the nonlinear fractional Schrödinger equations
• Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
• Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion
• Mixed finite-element method for multi-term time-fractional diffusion and diffusion-wave equations
• A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
• Solution of nonlinear fractional diffusion-wave equation by triangular functions
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Convolution quadrature and discretized operational calculus. I
• The unstructured mesh finite element method for the two-dimensional multi-term time-space fractional diffusion-wave equation on an irregular convex domain
• Sixth-order non-uniform combined compact difference scheme for multi-term time fractional diffusion-wave equation
• Compact alternating direction implicit scheme for integro-differential equations of parabolic type
• A unified numerical scheme for the multi-term time fractional diffusion and diffusion-wave equations with variable coefficients
• Trapezoidal scheme for time-space fractional diffusion equation with Riesz derivative
• Solution of the fractional Black-Scholes option pricing model by finite difference method
• A numerical solution strategy based on error analysis for time-fractional mobile/immobile transport model
• Two linearized finite difference schemes for time fractional nonlinear diffusion-wave equations with fourth order derivative
• A compact difference scheme on graded meshes for the nonlinear fractional integro-differential equation with non-smooth solutions
• Anomalous convection diffusion and wave coupling transport of cells on comb frame with fractional Cattaneo-Christov flux
• Space-time finite element method for the multi-term time-space fractional diffusion equation on a two-dimensional domain
• A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations
• A fast linearized finite difference method for the nonlinear multi-term time-fractional wave equation
• A high-order method with a temporal nonuniform mesh for a time-fractional Benjamin-Bona-Mahony equation
• Fast iterative method with a second-order implicit difference scheme for time-space fractional convection-diffusion equation
• A fully discrete difference scheme for a diffusion-wave system
• A Legendre spectral-finite difference method for Caputo-Fabrizio time-fractional distributed-order diffusion equation
• A Central Difference Numerical Scheme for Fractional Optimal Control Problems
• Discretized Fractional Calculus
• Fractional diffusion and wave equations
• An Unconditionally Stable and High-Order Convergent Difference Scheme for Stokes’ First Problem for a Heated Generalized Second Grade Fluid with Fractional Derivative
• A unified difference-spectral method for time–space fractional diffusion equations
• Convolution Quadrature Methods for Time-Space Fractional Nonlinear Diffusion-Wave Equations
• Numerical Schemes for Time-Space Fractional Vibration Equations
• A Separable Preconditioner for Time-Space Fractional Caputo-Riesz Diffusion Equations
• Alternating Direction Implicit Schemes for the Two-Dimensional Time Fractional Nonlinear Super-Diffusion Equations
• Subordination principles for the multi-dimensional space-time-fractional diffusion-wave equation
• Fractional differentiation matrices with applications
• Finite difference method for time-space-fractional Schrödinger equation
• Fractional Calculus
• A superlinear convergence scheme for the multi‐term and distribution‐order fractional wave equation with initial singularity

This page was built for publication: A linearized finite difference scheme for time-space fractional nonlinear diffusion-wave equations with initial singularity