proposed accurate spectral collocation methods for VO-F differential equations such as Schrodinger equation , Galilei invariant advection diffusion equations , diffusion equation  and cable equation .
Numerical simulation for two-dimensional variable order fractional nonlinear cable equation. Nonlinear Dynamics, 80(1):101-116, 2015.
[24, 25] paid their attention to Bernstein Polynomials to solve variable order linear cable equation and variable order time fractional diffusion equation.
In addition, the proposed method can be applied by developing for the other related fractional problem, such as variable fractional order integrodifferential equation, variable order time fractional diffusion equation, and variable fractional order linear cable equation. This is one possible area of our future work.
Zhang, "Implicit compact difference schemes for the fractional cable equation
," Applied Mathematical Modelling, vol.
Medical applications described include microarray gene subset selection in amyotrophic lateral sclerosis classification, and the use of the cable equation
by Morris-Lecar to simulate the cardiac cycle in diagnosis of cardiac arrhythmia.
for a myelinated axon derived from its microstructure.
A sampling of contents: optimal signal processing for brain-machine interfaces, functional characterization of adaptive visual encoding, restoration of movement by implantable neural motor prostheses, advances in retinal neuroprosthetics, muscle synergies for motor control, cable equation
model for myelinated nerve fiber, and nonlinear approaches to learning and memory.
Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation
. Nonlinear Dyn., 80(1):101-116, 2015.
As with the equations for parallel wires, the coaxial cable equations
clearly show the same inverse relationship: reducing inductance by lowering the b/a ratio increases capacitance.