Fast Hankel Transforms Algorithm Based on Kernel Function Interpolation with Exponential Functions
Joint Authors
Nie, Xin
Chen, Yu
Zhang, Huaiqing
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-05
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The Pravin method for Hankel transforms is based on the decomposition of kernel function with exponential function.
The defect of such method is the difficulty in its parameters determination and lack of adaptability to kernel function especially using monotonically decreasing functions to approximate the convex ones.
This thesis proposed an improved scheme by adding new base function in interpolation procedure.
The improved method maintains the merit of Pravin method which can convert the Hankel integral to algebraic calculation.
The simulation results reveal that the improved method has high precision, high efficiency, and good adaptability to kernel function.
It can be applied to zero-order and first-order Hankel transforms.
American Psychological Association (APA)
Zhang, Huaiqing& Chen, Yu& Nie, Xin. 2014. Fast Hankel Transforms Algorithm Based on Kernel Function Interpolation with Exponential Functions. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-446773
Modern Language Association (MLA)
Zhang, Huaiqing…[et al.]. Fast Hankel Transforms Algorithm Based on Kernel Function Interpolation with Exponential Functions. Journal of Applied Mathematics No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-446773
American Medical Association (AMA)
Zhang, Huaiqing& Chen, Yu& Nie, Xin. Fast Hankel Transforms Algorithm Based on Kernel Function Interpolation with Exponential Functions. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-446773
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-446773