A fast algorithm to solve the Poisson equation in the complex plane

Other Title(s)

خوارزمية سريعة لحل معادلة بواسون في المستوى المركب

Author

Mashshat, Sulayman Dawud

Source

Journal of King Abdulaziz University : Sciences

Issue

Vol. 15, Issue 1 (31 Dec. 2003), pp.33-42, 10 p.

Publisher

King Abdulaziz University Scientific Publishing Center

Publication Date

2003-12-31

Country of Publication

Saudi Arabia

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

Fast algorithm for the accurate evaluation of some integral operator that arise in the context of solving certain partial differential equations within the unit circle in the complex plane are presented.

It is based on some recursive relations in the Fourier space and the FFT (Fast Fourier Transform), and have theoretical computational complexity of the order O(log N) per point, where N 2 is the total number of grid points.

American Psychological Association (APA)

Mashshat, Sulayman Dawud. 2003. A fast algorithm to solve the Poisson equation in the complex plane. Journal of King Abdulaziz University : Sciences،Vol. 15, no. 1, pp.33-42.
https://search.emarefa.net/detail/BIM-367664

Modern Language Association (MLA)

Mashshat, Sulayman Dawud. A fast algorithm to solve the Poisson equation in the complex plane. Journal of King Abdulaziz University : Sciences Vol. 15, no. 1 (Dec. 2003), pp.33-42.
https://search.emarefa.net/detail/BIM-367664

American Medical Association (AMA)

Mashshat, Sulayman Dawud. A fast algorithm to solve the Poisson equation in the complex plane. Journal of King Abdulaziz University : Sciences. 2003. Vol. 15, no. 1, pp.33-42.
https://search.emarefa.net/detail/BIM-367664

Data Type

Journal Articles

Language

English

Notes

Includes appendix : p. 39-41

Record ID

BIM-367664