Second-order convergent scheme for time-fractional partial differential equations with a delay in time
DOI10.1007/s10910-022-01409-9OpenAlexW4303673994WikidataQ115382699 ScholiaQ115382699MaRDI QIDQ2679252
Publication date: 19 January 2023
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10910-022-01409-9
stabilityconvergencetime delayCaputo derivativecubic \(B\)-splinestime fractional convection-reaction-diffusion equations
Numerical computation using splines (65D07) Fractional derivatives and integrals (26A33) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11) Functional-differential equations with fractional derivatives (34K37)
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Cites Work
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- A mixed finite element method for a time-fractional fourth-order partial differential equation
- An explicit high order method for fractional advection diffusion equations
- A second order explicit finite difference method for the fractional advection diffusion equation
- Two mixed finite element methods for time-fractional diffusion equations
- High-order finite element methods for time-fractional partial differential equations
- Existence and uniqueness of the solutions for a class of nonlinear fractional order partial differential equations with delay
- Robustness of fractional difference schemes via the Caputo subdiffusion-reaction equations
- An approximation to the solution of time fractional modified Burgers' equation using extended cubic B-spline method
- Stability analysis of linear fractional differential system with multiple time delays
- Existence and uniqueness for fractional neutral differential equations with infinite delay
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- A new analytical modelling for fractional telegraph equation via Laplace transform
- Analysis and application of new fractional Adams-Bashforth scheme with Caputo-Fabrizio derivative
- Numerical studies for fractional-order logistic differential equation with two different delays
- Finite difference and spectral collocation methods for the solution of semilinear time fractional convection-reaction-diffusion equations with time delay
- Solving fractional delay differential equations: a new approach
- A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative
- Similarities in a fifth-order evolution equation with and with no singular kernel
- Numerical solutions of nonlinear fractional model arising in the appearance of the strip patterns in two-dimensional systems
- Adomian decomposition and homotopy perturbation method for the solution of time fractional partial integro-differential equations
- A fractional model of vertical transmission and cure of vector-borne diseases pertaining to the Atangana-Baleanu fractional derivatives
- A novel finite difference technique with error estimate for time fractional partial integro-differential equation of Volterra type
- A numerical approach for a class of time-fractional reaction-diffusion equation through exponential B-spline method
- Numerical solution of time-fractional nonlinear PDEs with proportional delays by homotopy perturbation method
- A parallel CGS block-centered finite difference method for a nonlinear time-fractional parabolic equation
- An \(H^1\)-Galerkin mixed finite element method for time fractional reaction-diffusion equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
- On error bounds for spline interpolation
- Two finite difference schemes for time fractional diffusion-wave equation
- Finite difference/spectral approximations for the fractional cable equation
- Computational methods for delay parabolic and time-fractional partial differential equations
- Application and analysis of spline approximation for time fractional mobile–immobile advection‐dispersion equation
- Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation
- Solitary solutions for time-fractional nonlinear dispersive PDEs in the sense of conformable fractional derivative
- Analysis of the compact difference scheme for the semilinear fractional partial differential equation with time delay
- The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation
- STABILITY ANALYSIS OF DIFFERENTIAL EQUATIONS WITH TIME-DEPENDENT DELAY
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