Some remarks on the solution of the cell growth equation
Adolf Mirotin
TL;DR
This paper simplifies the analytical solution process for the cell growth equation's initial-boundary value problem by applying operator semigroup theory, enhancing understanding of its mathematical structure.
Contribution
It introduces a simplified approach to solving the cell growth equation using operator semigroup theory, improving upon previous methods.
Findings
Simplified the solution derivation for the cell growth equation.
Applied operator semigroup theory to partial differential equations.
Enhanced mathematical understanding of the cell growth model.
Abstract
The analytical solution to the initial-boundary value problem for the cell growth equation was given in the paper Zaidi A. A., Van Brunt B., Wake G.C., Solutions to an advanced functional partial differential equation of the pantograph type, Proc. R. Soc. A 471: 20140947 (2015). In this note, we simplify the arguments given in the paper mentioned above by using the theory of operator semigroups.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Differential Equations and Numerical Methods · Nonlinear Differential Equations Analysis