Fourth-Order Deferred Correction Scheme for Solving Heat Conduction Problem

D. Yambangwai and N. P. Moshkin

Mathematical Problems in Engineering, 2013, vol. 2013, 1-9

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:574620

DOI: 10.1155/2013/574620

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