Pseudoparabolic equations in one space variable

Odinger-type Equations in One Space Variable

We examine the use of orthogonal spline collocation for the semi-discretization of the cubic Schr odinger equation and the two-dimensional parabolic equation of Tappert. In each case, an optimal order L 2 estimate of the error in the semidiscrete approximation is derived. For the cubic Schr odinger equation, we present the results of numerical experiments in which the integration in time is p...

Error estimation for nonlinear pseudoparabolic equations with nonlocal boundary conditions in reproducing kernel space

In this paper we discuss about nonlinear pseudoparabolic equations with nonlocal boundary conditions and their results. An effective error estimation for this method altough has not yet been discussed. The aim of this paper is to fill this gap.

THE NONPOSinVITY OF SOLUTIONS TO PSEUDOPARABOLIC EQUATIONS

Conditions are given on the nonnegative data «jc) and g{x, t) such that solutions of the pseudoparabolic inequality P[u] =» (L I)u, + Lu < 0 in Dx (0, t)

error estimation for nonlinear pseudoparabolic equations with nonlocal boundary conditions in reproducing kernel space

in this paper at first , we discuss about nonlinear pseudoparabolic equations with nonlocalboundary conditions and their results.at second we use an effective error estimation for this method altough has not yet beendiscussed. the aim of this paper is to fill this gap.

Formation of singularities for viscosity solutions of Hamilton-Jacobi equations in one space variable