Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...

A Fourier series method is described which, when applied to a certain class of parabolic partial differential equations, reduces the problem to a system of ordinary differential equations. An ...

Journal of Computational Mathematics, Vol. 37, No. 1 (January 2019), pp. 1-17 (17 pages) This paper develops a framework to deal with the unconditional superclose analysis of nonlinear parabolic ...

Abstract: The extensively studied partial differential equation (PDE) systems evolve on continuous time and continuous space, which restricts the investigation scope of PDE systems. A parabolic PDE ...

Partial differential equations (PDEs) are required for modeling dynamic systems in science and engineering, but solving them accurately, especially for initial value problems, remains challenging.

1 Institute for Partial Differential Equations, Technische Universität Braunschweig, Braunschweig, Germany 2 Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, ...

I have two rectangular regions, the constant alpha of the pde equation is equal to 0.025 on the inside and 0 on the outside, how should I define it, I tried tf.where, tf.greater/less, tf.cond, ...

Abstract: This article studies the boundary fuzzy control problem for nonlinear parabolic partial differential equation (PDE) systems under spatially noncollocated mobile sensors. In a real setup, ...