An inverse problem for a quasilinear parabolic equation with nonlocal boundary and overdetermination conditions

solving an inverse problem for a parabolic equation with a nonlocal boundary condition in the reproducing kernel space

on the basis of a reproducing kernel space, an iterative algorithm for solving the inverse problem for heat equation with a nonlocal boundary condition is presented. the analytical solution in the reproducing kernel space is shown in a series form and the approximate solution vn is constructed by truncating the series to n terms. the convergence of vn to the analytical solution is also proved. ...

Solution of Inverse Euler-Bernoulli Problem with Integral Overdetermination and Periodic Boundary Conditions

In this work, we tried to find the inverse coefficient in the Euler problem with over determination conditions. It showed the existence, stability of the solution by iteration method and linearization method was used for this problem in numerical part. Also two examples are presented with figures.

A Quasilinear Parabolic System with Nonlocal Sources and Weighted Nonlocal Boundary Conditions

Abstract In this paper, we investigate the blow-up properties of a quasilinear reaction-diffusion system with nonlocal nonlinear sources and weighted nonlocal Dirichlet boundary conditions. The critical exponent is determined under various situations of the weight functions. It is observed that the boundary weight functions play an important role in determining the blow-up conditions. In additi...

A Quasilinear Parabolic Equation With Inhomogeneous Density and Absorption

Solving an inverse problem for a parabolic equation with a nonlocal boundary condition in the reproducing kernel space

On the basis of a reproducing kernel space, an iterative algorithm for solving the inverse problem for heat equation with a nonlocal boundary condition is presented. The analytical solution in the reproducing kernel space is shown in a series form and the approximate solution vn is constructed by truncating the series to n terms. The convergence of vn to the analytical solution is also proved. ...