A parallel Crank-Nicolson finite difference method for time-fractional parabolic equation

DOI10.1515/JNMA-2014-0016zbMath1302.65237OpenAlexW2094173750MaRDI QIDQ477403

J. Herrera, Sumit K. Garg

Publication date: 9 December 2014

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnma-2014-0016

zbMATH Keywords

preconditioned conjugate gradient methodparallel computationstime-fractional diffusion equationCrank-Nicholson finite difference methodLinux PC cluster workstation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Parallel numerical computation (65Y05) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11)

Related Items (13)

A new parallel difference algorithm based on improved alternating segment Crank-Nicolson scheme for time fractional reaction-diffusion equation ⋮ A difference method with parallel nature for solving time-space fractional Black-Scholes model ⋮ Solving time-fractional reaction-diffusion systems through a tensor-based parallel algorithm ⋮ A class of intrinsic parallel difference methods for time-space fractional Black-Scholes equation ⋮ An alternating segment Crank-Nicolson parallel difference scheme for the time fractional sub-diffusion equation ⋮ An efficient alternating segment parallel finite difference method for multi-term time fractional diffusion-wave equation ⋮ The error analysis of Crank-Nicolson-type difference scheme for fractional subdiffusion equation with spatially variable coefficient ⋮ An efficient parallel approximate algorithm for solving time fractional reaction-diffusion equations ⋮ Fractional Crank-Nicolson-Galerkin finite element methods for nonlinear time fractional parabolic problems with time delay ⋮ Analysis and numerical simulation for a class of time fractional diffusion equation via tension spline ⋮ A difference scheme with intrinsic parallelism for fractional diffusion-wave equation with damping ⋮ An efficient alternating segment parallel difference method for the time fractional telegraph equation ⋮ A parallel CGS block-centered finite difference method for a nonlinear time-fractional parabolic equation

This page was built for publication: A parallel Crank-Nicolson finite difference method for time-fractional parabolic equation