Inverse problems in the context of elliptic equations and boundary value problems represent a critical area of mathematical analysis with wide-ranging applications in imaging, geophysics, and medical ...

Boundary value problems (BVPs) and partial differential equations (PDEs) are critical components of modern applied mathematics, underpinning the theoretical and practical analyses of complex systems.

The method of least squares is used to construct approximate solutions to the boundary value problem $\tau f = g_0, B_i(f) = 0$ for $i = 1,\ldots, k$, on the interval ...