On a singular two dimensional nonlinear evolution equation with nonlocal conditions

On the higher dimension Boussinesq equation with nonclassical condition

“…. ,N. By a well-known theorem on the solvability of such systems, problem (13) is uniquely solvable for the initial conditions (14). Thus, for every n there exists a function u N (x) satisfying (5).…”

A note on efficient techniques for the second-order parabolic equation subject to non-local conditions

“…Problems of non-local type include chemical diffusion, thermoelasticity, heat conduction processes, population dynamics, inverse problems, control theory and certain biological processes (see [3,4,[6][7][8]14,19,16,21,22]). …”

Ritz‐Galerkin method with Bernstein polynomial basis for finding the product solution form of heat equation with non‐classic boundary conditions

“…The existence, uniqueness and continuous dependence on data of the solution of this non-local boundary-value problem and some other similar problems have been studied in Bouziani (1997Bouziani ( , 1999, Cannon et al (1990) and Cannon and Yin (1989). Also, the interested reader can see Cannon (1984), Day (1992), Friedman (1986), Lepin and Myshkis (1997), Mesloub (2008) and Wang and Lin (1990). In recent years, the development of computational techniques for solving the non-local boundary-value problems has been an important research topic in many areas of applied science and engineering.…”