A Numerical Solution of the One-Dimensional Inverse Parabolic Problem Using Chebyshev T Polynomials

In this paper, a numerical solution of an inverse non-dimensional heat conduction problem will be considered. By using a sensor located at a point inside the body and measuring the temperature at a point x = x1, 0 < x1 < 1, and applying the Chebyshev polynomials base function to the inverse heat conduction problem, we determine a stable numerical solution to this problem