Fourth-Order Deferred Correction Scheme for Solving Heat Conduction Problem

Abstract EN

A deferred correction method is utilized to increase the order of spatial accuracy of the Crank-Nicolson scheme for the numerical solution of the one-dimensional heat equation.

The fourth-order methods proposed are the easier development and can be solved by using Thomas algorithms.

The stability analysis and numerical experiments have been limited to one-dimensional heat-conducting problems with Dirichlet boundary conditions and initial data.