Article ID Journal Published Year Pages File Type
1706493 Applied Mathematical Modelling 2010 8 Pages PDF
Abstract

A new alternating direction implicit (ADI) scheme for solving three-dimensional parabolic equations with nonhomogeneous boundary conditions is presented. The scheme is also extended to high-order compact difference scheme. Both of them have the advantages of unconditional stability and being convenient to compute the boundary values of the intermediates. Besides this, the compact scheme has high-order accuracy and uses less computational time. Numerical examples are presented and the results are very satisfactory.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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