The boundary element method applied to the solution of the diffusion-wave problem

DOI10.1016/j.enganabound.2020.03.027zbMath1464.65103OpenAlexW3014487591MaRDI QIDQ785077

B. S. Solheid, Jon Trevelyan, Mohammed Seaid, José Antonio Marques Carrer

Publication date: 5 August 2020

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: http://dro.dur.ac.uk/30549/1/30549.pdf

Mathematics Subject Classification ID

Fractional partial differential equations (35R11) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Uses Software

• FODE

Cites Work

• Second-order explicit difference schemes for the space fractional advection diffusion equation
• Fractional calculus for scientists and engineers.
• The BEM for numerical solution of partial fractional differential equations
• Implicit finite difference approximation for time fractional diffusion equations
• Scalar wave equation by the boundary element method: a D-BEM approach with non-homogeneous initial conditions
• Finite difference approximations for fractional advection-dispersion flow equations
• A new collection of real world applications of fractional calculus in science and engineering
• The boundary element method applied to the solution of the anomalous diffusion problem
• Computational aspects of FEM approximation of fractional advection dispersion equations on bounded domains in \(\mathbb R^2\)
• FRACTIONAL DIFFUSIVE WAVES
• The dual reciprocity boundary elements method for the linear and nonlinear two-dimensional time-fractional partial differential equations
• Exact solutions for time-fractional diffusion-wave equations by decomposition method
• An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
• Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
• Unnamed Item
• Unnamed Item
• Unnamed Item