This paper introduces a numerical method to solve anti-periodic boundary value problems. The proposed method converts anti-periodic boundary value problem to a Fredholm integral equation and solves it by Galerkin method. The approximate solution converges to the exact solution and satisfies anti-periodic boundary conditions completely. Also, the convergence rate of the proposed method is given ...

We study the large time behaviour of solution linear dispersive partial differential equations posed on a finite interval, when at least one prescribed boundary conditions is periodic. use Q equation approach, pioneered in Fokas & Lenells 2012 and applied to problems half-line van der Weele 2021, characterise necessary for such problem be periodic, an asymptotic sense. then fully describe perio...