Boundary-domain integral equations (BDIEs) have emerged as a robust framework for the reformulation and solution of boundary value problems (BVPs) in complex settings. By incorporating integrals over ...

The equations of the boundary layer are integrated by an expression of the form f(x)=∫0 xe-F(x)φ (x) dx, where F(x) is a positive function with x=0 as the stationary point; φ (x) is slowly varying; ...

For the integral equation $\mathrm{u}\left(\mathrm{x}\right)={\int }_{0}^{1}\mathrm{K}(\mathrm{x},\mathrm{y})\times \mathrm{u}\left(\mathrm{y}\right)\mathrm{d}\mathrm ...

Analogue computer: Brian Edwards (left), Nader Engheta (centre) and Nasim Mohammadi Estakhri show-off their microwave protoype. (Courtesy: Eric Sucar/University of Pennsylvania) Metamaterials have ...

A DIFFERENTIAL equation, in its usual form, states an analytical problem with a certain assumption as to the form of the answer. It implies the existence of a dependent variable, capable of being ...