In this paper, third- and fourth-order compact finite difference schemes are proposed for solving Helmholtz equations with discontinuous media along straight interfaces in two space dimensions. To ...

I review why the (n + 1)st difference sequence is zero for sequence data generated by an nth degree polynomial. Then, I use difference equations to show that if a sequence has its (n + 1)st difference ...

EVEN from the point of view of an undergraduate, the subject of differential equations is very diiferent from what it was fifty years ago. But in a large and miscellaneous collection of examples like ...

For this system, the initial values for the concentrations are derived from equilibrium considerations (as a function of parameters) or are provided as known values. The experiment used to collect the ...