Fourier method for higher dimensional inverse quasi‐linear parabolic problem

Abstract

In this work, higher-dimensional inverse quasi-linear parabolic problem was investigated. We demonstrated the solution by the Fourier approximation. The inverse problem was first examined by linearizing and then used implicit finite difference schema for the numerical solution. KEYWORDS inverse problem, nonlocal(periodic) boundary conditions, two dimensional heat problem 1 2 w y 2 − q(t)w + g(x, y, t, w), (x, y, t) ∈ Γ, (1)