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 theoretical analysis and computational implementation of factorization-based methods for the numerical solution of linear boundary value problems for ordinary differential equations are presented.

Elliptic equations represent a fundamental class of partial differential equations that arise in numerous models of steady-state processes, ranging from heat conduction to elasticity. Their study ...