A numerical solution strategy based on error analysis for time-fractional mobile/immobile transport model
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Publication:2100277
DOI10.1007/s00500-021-05914-yzbMath1502.90021OpenAlexW3174746884MaRDI QIDQ2100277
Publication date: 21 November 2022
Published in: Soft Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00500-021-05914-y
error analysisspectral approximationCaputo fractional derivativefractal mobile/immobile transport model
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A spectral element method to price European options. I. Single asset with and without jump diffusion
- A spectral element approximation to price European options with one asset and stochastic volatility
- Fractional calculus for scientists and engineers.
- Theory of reproducing kernels and applications
- Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments
- Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
- Spectral approximation for elliptic boundary value problems
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Strong and weak Lagrange-Galerkin spectral element methods for the shallow water equations
- A review of definitions for fractional derivatives and integral
- Numerical investigation of the time fractional mobile-immobile advection-dispersion model arising from solute transport in porous media
- A Crank-Nicolson difference scheme for the time variable fractional mobile-immobile advection-dispersion equation
- Existence and uniqueness results for a time-fractional nonlinear diffusion equation
- Existence of solutions of non-autonomous fractional differential equations with integral impulse condition
- Numerical evaluation of the fractional Klein-Kramers model arising in molecular dynamics
- Numerical solutions of nonlinear fractional model arising in the appearance of the strip patterns in two-dimensional systems
- Numerical investigation of fractional nonlinear sine-Gordon and Klein-Gordon models arising in relativistic quantum mechanics
- Spectral element based model for wave propagation analysis in multi-wall carbon nanotubes
- A fully discrete difference scheme for a diffusion-wave system
- Approximation of acoustic waves by explicit Newmark's schemes and spectral element methods
- General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems
- High‐order difference scheme for the solution of linear time fractional klein–gordon equations
- The use of He's variational iteration method for solving the telegraph and fractional telegraph equations
- Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy
- Approximation Results for Orthogonal Polynomials in Sobolev Spaces
- Application and analysis of spline approximation for time fractional mobile–immobile advection‐dispersion equation
- An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
- Solving nonlinear fractional partial differential equations using the homotopy analysis method
- Spectral Methods
