Finite element method for drifted space fractional tempered diffusion equation

DOI10.1007/S12190-019-01241-6zbMath1427.65352OpenAlexW2913368086MaRDI QIDQ2008048

Yanyan Li

Publication date: 22 November 2019

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-019-01241-6

zbMATH Keywords

stabilityerror estimatesGronwall's lemmab-spline finite elementtempered fractional

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical solutions to equations with linear operators (65J10) Fractional partial differential equations (35R11)

Related Items (7)

Non uniform weighted extended B-spline finite element analysis of non linear elliptic partial differential equations ⋮ Convergence and stability of Galerkin finite element method for hyperbolic partial differential equation with piecewise continuous arguments ⋮ A second-order finite difference scheme for nonlinear tempered fractional integrodifferential equations in three dimensions ⋮ Aθ-finite difference scheme based on cubic B-spline quasi-interpolation for the time fractional Cattaneo equation with Caputo–Fabrizio operator ⋮ A Lagrange-quadratic spline optimal collocation method for the time tempered fractional diffusion equation ⋮ A partition of unity finite element method for valuation American option under Black-Scholes model ⋮ Fully discrete spectral method for solving a novel multi-term time-fractional mixed diffusion and diffusion-wave equation

Cites Work

• Unnamed Item
• The Pricing of Options and Corporate Liabilities
• High-order algorithms for Riesz derivative and their applications. II
• Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
• Numerical approximations and solution techniques for the space-time Riesz-Caputo fractional advection-diffusion equation
• A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
• Tempered stable Lévy motion and transient super-diffusion
• Time fractional diffusion: A discrete random walk approach
• Computational algorithm for solving Fredholm time-fractional partial integrodifferential equations of Dirichlet functions type with error estimates
• Finite element method for a symmetric tempered fractional diffusion equation
• Numerical solutions of integrodifferential equations of Fredholm operator type in the sense of the Atangana-Baleanu fractional operator
• Atangana-Baleanu fractional approach to the solutions of Bagley-Torvik and Painlevé equations in Hilbert space
• Numerical solutions of time-fractional partial integrodifferential equations of Robin functions types in Hilbert space with error bounds and error estimates
• A Fourier spectral method for fractional-in-space Cahn-Hilliard equation
• Preconditioned iterative methods for fractional diffusion models in finance
• Numerical algorithm for solving time‐fractional partial integrodifferential equations subject to initial and Dirichlet boundary conditions
• Solutions of time‐fractional Tricomi and Keldysh equations of Dirichlet functions types in Hilbert space
• Discontinuous Galerkin Methods and Their Adaptivity for the Tempered Fractional (Convection) Diffusion Equations
• Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation

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