In this paper, a numerical method is developed for solving a linear sixth order boundaryvalue problem (6VBP ) by using the hyperbolic uniform spline of order 3 (lower order). Thereis proved to be first-order convergent. Numerical results confirm the order of convergencepredicted by the analysis.  

We continue to study the initial–boundary-value problem of sixth order Boussinesq equation in a quarter plane with non-homogeneous boundary conditions: u t − x + β ( 2 ) = 0 , ∈ R φ ψ ′ h 1 3 where ± . show that is locally analytically well-posed space H s for any > 4 initial-value data × and boundary-value