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A New ADI Scheme for Solving Three-Dimensional Parabolic Differential Equations

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Abstract

A new alternating-direction implicit (ADI) scheme for solving three-dimensional parabolic differential equations has been developed based on the idea of regularized difference scheme. It is unconditionally stable and second-order accurate. Further, it overcomes the drawback of the Douglas scheme and is to be very well to simulate fast transient phenomena and to efficiently capture steady state solutions of parabolic differential equations. Numerical example is illustrated.

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Authors and Affiliations

  1. Mathematics and Statistics, College of Engineering and Science, Louisiana Tech University, Ruston, Louisiana, 71272

    Weizhong Dai

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  1. Weizhong Dai
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Dai, W. A New ADI Scheme for Solving Three-Dimensional Parabolic Differential Equations. Journal of Scientific Computing 12, 361–369 (1997). https://doi.org/10.1023/A:1025620828055

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  • DOI: https://doi.org/10.1023/A:1025620828055

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