Improved finite difference method with a compact correction term for solving Poisson's equations. (1st November 2016)

• Record Type: Journal Article
• Authors: Zhang, Kun; Wang, Liangbi; Zhang, Yuwen
• Is Part Of: Numerical heat transfer. Volume 70:Number 5(2016)
• Page Start: 393
• Page End: 405
• Publication Date: 2016-11-01
• Subjects: Heat -- Transmission -- Measurement -- Periodicals; Mass transfer -- Measurement -- Periodicals; Numerical analysis -- Periodicals; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; 621.4022
• DOI: 10.1080/10407790.2016.1215715
• Languages: English
• ISSNs: 1040-7790

Abstract

ABSTRACT: An improved finite difference method with a compact correction term is proposed to solve the Poisson's equations. The compact correction term is developed by coupled high-order compact and low-order classical finite difference formulations. The numerical solutions obtained by the classical finite difference method are considered as fundamental solutions with lower accuracy, whereas a compact correction term is added into the source term of classical discrete formulation to improve the accuracy of numerical solutions. The proposed method can be extended from two-dimensional to multidimensional cases straightforwardly. Numerical experiments are carried out to verify the accuracy and efficiency of this method.