On the solution of an acoustic wave equation with variable-order derivative loss operator
DOI10.1186/1687-1847-2013-167zbMath1444.65047OpenAlexW2105306699WikidataQ59300207 ScholiaQ59300207MaRDI QIDQ1648759
Publication date: 27 June 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1847-2013-167
stabilityconvergenceacoustic wave equationCrank-Nicholson schemevariable-order derivativeloss operator
Fractional derivatives and integrals (26A33) Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Fractional partial differential equations (35R11)
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- On the numerical solution of space-time fractional diffusion models
- A finite difference method for fractional partial differential equation
- On the fractional Adams method
- Matrix approach to discrete fractional calculus. II: Partial fractional differential equations
- Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation
- The fundamental solutions for the fractional diffusion-wave equation
- The accuracy and stability of an implicit solution method for the fractional diffusion equation
- Detailed error analysis for a fractional Adams method
- Finite difference approximations for fractional advection-dispersion flow equations
- A second-order accurate numerical approximation for the fractional diffusion equation
- Fractional diffusion and wave equations
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
- An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
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