Fluorescent nanotubes (CdS‐LNT) with hollow cylindrical morphologies are prepared, where CdS nanodots (NDs) in a face‐centered cubic phase of the zinc blende structure have grown all over the bilayer membrane walls of a lipid nanotube (LNT). The hollow cylinder of the CdS‐ND‐embedded LNT was found to be able to load the spherical protein ferritin or gold nanoparticles inside (see figure).
Purpose
Analytical methods are widely used in heat and fluid flow; the purpose of this paper is to couple Taylor series method and Bubbfil algorithm to solve nonlinear differential equations.
Design/methodology/approach
A series solution is obtained with some unknown constants, which can be determined by incorporating boundary conditions, and the constants are calculated by the Bubbfil algorithm.
Findings
This paper gives an analytical approach to a nonlinear equation arising in porous catalyst using Taylor series and Bubbfil algorithm, and a high accuracy can be achieved.
Research limitations/implications
The coupled method of Taylor series and Bubbfil algorithm is a powerful method for nonlinear differential equations.
Practical implications
The proposed technology can be used in various numerical methods.
Originality/value
A new analytical method is proposed based on Taylor series and Bubbfil algorithm, which is a development of Newton’s iteration method and an ancient Chinese algorithm. The solution process is simple and easy to follow.
The electrospinning is used to produce environment-friendly and degradable nanoparticles. The edible starch is used as the electrospinning solution and water as solvent, and size of the nanoparticles is controllable by the solution concentration.
In reference to telemetry data processing, an improved method is presented, which makes use of telemetry data that the conventional method abandons. Qualitative analysis is made to show the advantage of the improved method. Simulation results indicate that the improved method can obtain 1~3dB gain, better than the conventional method.
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