Applying a few simplifying assumptions and constructing a set of ordinary differential equations leads to a model that ...

Parameter estimation in differential equation models is a critical endeavour in the mathematical modelling of dynamic systems. Such models, represented by ordinary differential equations (ODEs), ...

HUNTINGTON -- It is not a computer or a calculator in the modern sense, but a mathematical machine known as the differential analyzer (DA) does help students understand and solve certain types of ...

Governing equations in the form of ordinary and partial differential equations are valuable models for physical systems. However they can be difficult to derive, making them unknown, particularly for ...

Cancer is viewed as a multistep process whereby a normal cell is transformed into a cancer cell through the acquisition of mutations. We reduce the complexities of cancer progression to a simple set ...

An applied mathematician at UT has developed a partial differential equation model to find the desired flow rate to reduce invasive populations. The model is detailed in a new paper by Suzanne Lenhart ...

An important class of nonlinear models involves a dynamic description of the response rather than an explicit description. These models arise often in chemical kinetics, pharmacokinetics, and ...

Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a ...

In this paper, a partial differential equation model for the pricing of pension plans based on average salary is posed by using the dynamic hedging methodology. The existence and uniqueness of ...