An analytic solution of initial boundary value problem for 3D quasicrystals in half space

Abstract

In this article, initial boundary value problem for 3D quasicrystals in half space is considered. An analytic method is proposed for special form of initial conditions and nonhomogeneous term. It is explained that a weak solution of the problem can be constructed in the similar form of data by using symbolic calculations.

Motion of Patterns Modeled by the Gray-Scott Autocatalysis System in One Dimension

“…So far, many types of analytical and numerical solutions have been proposed for many problems arising in the fields covering chemistry, biology, physics and branches of all engineering fields [17][18][19][20][21][22][23][24][25][26][27][28]. In many of those methods particularly numerical methods, various techniques were setup by using various basis functions like B-spline functions of different degrees.…”