Régularisation d’un problème d’identification de source pour une équation parabolique

Abstract

In this work we tackled a problem: “Determining a non-time-related source of the perfect parabola equation in Rn from noisy data”; According to d’Hadamard. This problem is subjective; A family of coefficients regulating factors has been presented to compensate for the factor that causes instability, and by using the regulating factors selection rule, we determined the value of the regulating factor that is based on intuitive choice and depends on the level of error and the assumed degree of regularity. Holder type, as well as we have provided numerical examples to illustrate the effectiveness of this organizational approach.