A COUPLED UNIFIED DIFFERENCE METHOD FOR NUMERICAL SOLUTION OF THE INITIAL BOUNDARY VALUE FOURTH ORDER PARABOLIC PROBLEMS

Abstract

In this article we proposed a coupled unified difference method for the numerical solution for the fourth order parabolic problems. To simplify the complexity of higher order differential term, we introduced an intermediate function and hence the higher order boundary value problem is transformed into an equivalent system of reduced order boundary value problems. We have discussed the convergence of the proposed method. Numerical experiments are performed to test and approve the efficiency, accuracy of the proposed method.