DOAJ Open Access 2023

An Iterative High-Accuracy ADI Method for the 3D Parabolic Equation

Xiaoping Wu Zihao Li Zhixi Liang Yunliang Long

Abstrak

The alternating direction implicit parabolic equation (ADI-PE) method and the Crank–Nicolson parabolic equation (CN-PE) method have been widely used for solving the 3D parabolic equation (3D-PE) in radio wave propagation. The ADI-PE method is more computationally efficient than the CN-PE method. The accuracy of the ADI-PE method is improved by the higher-order Mitchell–Fairweather (MF)-ADI method. This paper presents an iterative high-accuracy (IHA)-ADI method for the 3D parabolic equation. A derivation of the proposed method is presented. The convergence and stability of the proposed method are estimated. Several numerical examples are considered to illustrate the advantages of the proposed method. The results of error analysis and a comparative study show that the proposed method is unconditionally stable and computationally efficient. The proposed method is more numerically accurate than the MF-ADI method.

Topik & Kata Kunci

Electrical engineering. Electronics. Nuclear engineering Cellular telephone services industry. Wireless telephone industry

Penulis (4)

Xiaoping Wu

Zihao Li

Zhixi Liang

Yunliang Long

Format Sitasi

APA MLA BibTeX

Wu, X., Li, Z., Liang, Z., Long, Y. (2023). An Iterative High-Accuracy ADI Method for the 3D Parabolic Equation. https://doi.org/10.1155/2023/9955888

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.1155/2023/9955888
Akses: Open Access ✓