Fourth-order elliptic equations, often characterised by the inclusion of the biharmonic operator (Δ²), play a pivotal role in the mathematical modelling of complex physical systems. They arise in ...

The Sinc-Galerkin method originally proposed by Stenger is extended to handle fourth-order ordinary differential equations. The exponential convergence rate of the method, $\mathcal{O}(e^{-\kappa\sqrt ...

This is a preview. Log in through your library . Journal Information SIAM Journal on Applied Mathematics contains research articles on mathematical methods and their applications in the physical, ...

Fourth-order boundary value problems (BVPs) constitute an essential class of differential equations where the highest derivative is of fourth order. These equations arise naturally in the mathematical ...