Boundary value problems in differential equations constitute a fundamental area of study in mathematical science, where solutions to differential equations are sought under prescribed conditions ...

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.

Reviews ordinary differential equations, including solutions by Fourier series. Physical derivation of the classical linear partial differential equations (heat, wave, and Laplace equations). Solution ...

The Rocky Mountain Journal of Mathematics, Vol. 39, No. 1 (2009), pp. 147-163 (17 pages) An existence result for solutions of nonlinear two-point boundary value problems of p-Laplacian differential ...

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.