This paper delves into a rapid and accurate numerical solution for the inverse problem of the
nonlinear diffusion equation in the context of multiphase porous media flow. For the …

One of the fastest growing and efficient methods for solving the unconstrained minimization
problem is the conjugate gradient method (CG). Recently, considerable efforts have been …

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 …

In this study, an efficient semi-discrete method based on the two-dimensional Legendre
wavelets (2D LWs) is developed to provide approximate solutions of nonlinear variable …

A new finite difference collocation algorithm has been introduced with the help of Fibonacci
polynomial and then applied to one super and two sub-diffusion problems having an exact …

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 …

In this paper, approaches to the numerical recovering of the initial condition in the inverse
problem for a nonlinear singularly perturbed reaction–diffusion–advection equation are …

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 paper, an efficient and accurate meshless method based on the moving least squares
(MLS) shape functions is developed to solve the generalized variable-order (VO) time …