5 citations · 8 across the 9 of their papers we have counts for
9 papers
Newell-Whitehead-Segel equation,A Simpler Proof
Luisiana X. Cundin
Previous analysis of the Newell-Whitehead-Segel equation proved the best solution is null; although, the method of solution generated complex nested integrals, therefore, difficult…
Newell-Whitehead-Segel Equation: An Exact, Generalized Solution
Luisiana Cundin
Derivation of an exact, general solution to Newell-Whitehead-Segel transient, nonlinear partial differential equation is provided for one to three dimensional cases, also, arbitrar…
A Novel Solution for the General Diffusion
Luisiana Cundin
The Fisher-KPP equation is a reaction-diffusion equation originally proposed by Fisher to represent allele propagation in genetic hosts or population. It was also proposed by Kolmo…
General Solution For Generalised Newell-Whitehead-Segel Equations
Luisiana X. Cundin
In this monograph, two sets of parabolic differential equations are studied, each with nonlinear medium response. The equations are generally referred to as "Newell-Whitehead-Segel…
Reliability, calibration and metrology in ionizing radiation dosimetry
Luisiana X. Cundin
Radiation dosimetry systems are complex systems, comprised of a milieu of components, designed for determining absorbed dose after exposure to ionizing radiation. Although many mat…
A compact analytic solution describing optoacoustic phenomenon in absorbing fluid
Luisiana Cundin, William Elliott, Norman Barsalou +1
Derivation of an analytic, closed-form solution for Q-switched laser induced optoacoustic phenomenon in absorbing fluid media is presented. The solution assumes spherical symmetry…
An electromagnetic model for biological tissue
Luisiana X. Cundin
This essay is a recapitulation of an earlier Kramers-Kronig analysis of biological tissue, published in 2010, "Kramers-Kronig analysis of biological skin". The intent is to both co…
Stieltjes Integral Theorem and The Hilbert Transform
Luisiana Xavier Cundin, Norman Barsalou
Stieltjes integral theorem is more commonly known by the phrase 'integration by parts' and enables rearrangement of an otherwise intractable integral to a more amenable form; often…
Kramers-Kronig analysis of biological skin
Luisiana X. Cundin, William P. Roach
A treatise on the optical property of biological tissue is presented. Water is postulated to be a topological basis and serves to discriminate published skin data. Electromagnetic…