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2006•Unpublished venueRequires access

Solution of the Tridiagonal Matrix System in ADI-FDTD

Zhiyong Yuan, Tun Li, Jinliang He, Shuiming Chen, Rong Zeng, Bo Zhang, Shanqiang Gu

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Abstract

The alternating-direction-implicit finite-difference time-domain method (ADI-FDTD) is considered as a very efficient algorithm. The key problem of the implementation of the ADI-FDTD method is to solve the tridiagonal matrix system. Two numerical algorithms for the tridiagonal matrix system are analyzed in detail in this paper. The interpretations for the stability of the algorithms are also given clearly

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What this paper is about

The alternating-direction-implicit finite-difference time-domain method (ADI-FDTD) is considered as a very efficient algorithm. The key problem of the implementation of the ADI-FDTD method is to solve the tridiagonal matrix system. Two numerical algorithms for the tridiagonal matrix system are analyzed in detail in this paper. The interpretations for the stability of the algorithms are also given clearly

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Available abstract

The alternating-direction-implicit finite-difference time-domain method (ADI-FDTD) is considered as a very efficient algorithm. The key problem of the implementation of the ADI-FDTD method is to solve the tridiagonal matrix system. Two numerical algorithms for the tridiagonal matrix system are analyzed in detail in this paper. The interpretations for the stability of the algorithms are also given clearly

Key concepts: Tridiagonal matrix, Alternating direction implicit method, Finite-difference time-domain method, Tridiagonal matrix algorithm, Matrix (chemical analysis), Stability (learning theory), Band matrix, Mathematics

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