We determine the general solution of the functional equation $f(x + y) + f(x - y) = A(y)f(x)\quad (x, y \in G),$ where G is a 2-divisible abelian group, f is a vector ...

Abstract: Higher-order vector basis functions are described that provide a linear normal and quadratic tangential representation of a vector quantity on rectangular or triangular cells. These ...

Partial Differential Equations (PDEs) are mathematical equations that involve functions of several variables and their partial derivatives. They are fundamental in describing various physical ...

Abstract: Vector spherical harmonic analyses have been used effectively to solve laminar and mean-field magnetohydrodynamic dynamo problems with product interactions, such as magnetic induction, ...