On a class of non-linear delay distributed order fractional diffusion equations
DOI10.1016/j.cam.2016.02.039zbMath1357.65127OpenAlexW2310142350MaRDI QIDQ507913
Vladimir G. Pimenov, Ahmed S. Hendy, Rob H. De Staelen
Publication date: 9 February 2017
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2016.02.039
stabilityconvergencedifference schemenonlinearnumerical experimentdiscrete energy methoddelay partial differential equationsdistributed order fractional partial differential equations
Nonlinear parabolic equations (35K55) Partial functional-differential equations (35R10) 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) Fractional partial differential equations (35R11)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence of the scheme with weights for the numerical solution of a heat conduction equation with delay for the case of variable coefficient of heat conductivity
- Maximum norm error analysis of difference schemes for fractional diffusion equations
- A new linearized compact multisplitting scheme for the nonlinear convection-reaction-diffusion equations with delay
- Numerical solution of distributed order fractional differential equations
- A linearized compact difference scheme for a class of nonlinear delay partial differential equations
- Distributed order equations as boundary value problems
- A computational matrix method for solving systems of high order fractional differential equations
- Numerical approximation of distributed order reaction-diffusion equations
- Reconstruction of a convolution kernel in a semilinear parabolic problem based on a global measurement
- Solution of a nonlinear time-delay model in biology via semi-analytical approaches
- Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod
- On a nonlinear distributed order fractional differential equation
- Numerical analysis for distributed-order differential equations
- Homotopy perturbation method to time-fractional diffusion equation with a moving boundary condition
- Strong contractivity properties of numerical methods for ordinary and delay differential equations
- Well-posedness of parabolic difference equations. Transl. from the Russian by A. Iacob
- Waiting-times and returns in high-frequency financial data: An empirical study
- Finite difference approximations for fractional advection-dispersion flow equations
- A generalized model for the uniaxial isothermal deformation of a viscoelastic body
- A time-space collocation spectral approximation for a class of time fractional differential equations
- Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations
- Fundamental solution of a distributed order time-fractional diffusion-wave equation as probability density
- A new difference scheme for time fractional heat equations based on the Crank-Nicholson method
- Some high-order difference schemes for the distributed-order differential equations
- An age-structured mathematical model for the within host dynamics of malaria and the immune system
- Numerical studies for fractional functional differential equations with delay based on BDF-type shifted Chebyshev approximations
- Fractional diffusion and wave equations
- Time-fractional Diffusion of Distributed Order
- A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
- A GLOBAL IN TIME EXISTENCE AND UNIQUENESS RESULT FOR A SEMILINEAR INTEGRODIFFERENTIAL PARABOLIC INVERSE PROBLEM IN SOBOLEV SPACES
- On a fractional distributed-order oscillator