An approach to solving coefficient inverse problems for nonlinear reaction-diffusion-
advection equations is proposed. As an example, we consider an inverse problem of …

In this paper, a new asymptotic-numerical approach to solving an inverse boundary value
problem for a nonlinear singularly perturbed parabolic equation with time-periodic …

Asymptotic-numerical approach to solving the coefficient inverse problem for a nonlinear
singularly perturbed two-dimensional reaction–diffusion equation by knowing the location of …

Numerical solution of inverse problem for 2D acoustic system of conservation laws by
gradient type method requires storage of O (N 3) elements which is crucial on large grids …

The paper considers the question of the possibility of recovering symmetric stable states of a
bistable medium in the inverse problem for a nonlinear singularly perturbed autowave …

In this project, we study the periodic Dirichlet boundary value problem for a singularly
perturbed reaction-advection-diffusion equation on the segment in case of discontinuous …

In this paper, by employing the asymptotic expansion method, we prove the existence and
uniqueness of a smoothing solution for a time-dependent nonlinear singularly perturbed …

A two-dimensional reaction–diffusion equation in a medium with discontinuous
characteristics is considered; the existence, local uniqueness, and asymptotic stability of its …

Piecewise reproducing kernel-based symmetric collocation approach for linear stationary
singularly perturbed problems Page 1 http://www.aimspress.com/journal/Math AIMS …

In this paper, we consider an inverse backward problem for a nonlinear singularly perturbed
parabolic equation of the Burgers' type. We demonstrate how a method of asymptotic …