An Integral Equations Method for the Cauchy Problem Connected with the Helmholtz Equation

Joint Authors

Sun, Yao
Zhang, Deyue

Source

Mathematical Problems in Engineering

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-09-19

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Civil Engineering

Abstract EN

We are concerned with the Cauchy problem connected with the Helmholtz equation.

We propose a numerical method, which is based on the Helmholtz representation, for obtaining an approximate solution to the problem, and then we analyze the convergence and stability with a suitable choice of regularization method.

Numerical experiments are also presented to show the effectiveness of our method.

American Psychological Association (APA)

Sun, Yao& Zhang, Deyue. 2013. An Integral Equations Method for the Cauchy Problem Connected with the Helmholtz Equation. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1008758

Modern Language Association (MLA)

Sun, Yao& Zhang, Deyue. An Integral Equations Method for the Cauchy Problem Connected with the Helmholtz Equation. Mathematical Problems in Engineering No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1008758

American Medical Association (AMA)

Sun, Yao& Zhang, Deyue. An Integral Equations Method for the Cauchy Problem Connected with the Helmholtz Equation. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1008758

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1008758