Quasi-wavelet for Fourth Order Parabolic Partial Integro-differential Equation

摘要

In this paper we discuss the numerical solution of initial-boundary value problem for the fourth order parabolic partial integro-differential equation. We use the forward Euler scheme for time discretization and the quasi-wavelet method for space discretization. Sometimes, we give a new method about the treatment of boundary condition. Numerical experiment is included to demonstrate the validity and applicability of the discrete technique. The results show that the quasi-wavelet method produce very accurate results.