A fourth-order finite difference solver for nerve conduction equation in rectangular domains

DOI10.1063/1.2890406zbMath1152.81646OpenAlexW1983064420MaRDI QIDQ5504885

Dingwen Deng, Zhi-Yue Zhang

Publication date: 23 January 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2890406

Mathematics Subject Classification ID

Neural biology (92C20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (3)

The fractional steps domain decomposition method for numerical solution of a class of viscous wave equations ⋮ The multistep finite difference fractional steps method for a class of viscous wave equations ⋮ Analysis and application of a compact multistep ADI solver for a class of nonlinear viscous wave equations

Cites Work

• Highly accurate compact implicit methods and boundary conditions
• The pseudohyperbolic problem arising in the dynamics of stratified rotating fluids
• An efficient high-order algorithm for solving systems of 3-D reaction-diffusion equations
• High order ADI method for solving unsteady convection-diffusion problems
• The finite element numerical analysis for a class of nonlinear evolution equations
• A fully discrete difference scheme for a diffusion-wave system
• A third-order semi-implicit finite difference method for solving the one-dimensional convection-diffusion equation
• Non-stationary planetary waves in semirestricted channels
• A Fast Iterative Algorithm for Elliptic Interface Problems
• An efficient high-order algorithm for solving systems of reaction-diffusion equations

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