A hybrid scheme for time fractional inverse parabolic problem

In order to solve the nonlinear time fractional inverse parabolic equations, two methods namely, combination of the finite difference method (FDM) and cubic B-spline collocation method are proposed. By using a sensor placed at a point inside the body and measuring the temperature at x=x∗, 0<x∗<1, and applying the FDM to the inverse problem, a stable numerical solution to this problem is determined. Comparison of the approximate solution with the exact one shows that the used approach is simple and practical.