Boundary value problems in Clifford analysis extend classical complex function theory into higher dimensions by employing Clifford algebras and Dirac-type operators. This field provides a unified ...

Boundary value problems (BVPs) lie at the heart of mathematical analysis and have wide-ranging applications across physics, engineering and other scientific disciplines. At their core, these problems ...

This paper presents a new approach to spectral methods for initial boundary value problems. A filtered version of the partial differential equation and the initial and boundary conditions at an ...

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 ...