A numerical algorithm for solving the Cauchy singular integral equation based on Hermite polynomials

Behrouz PARSA MOGHADDAM; J. A. TENREİRO MACHADO; Parisa SATTARİ SHAJARİ; Zeynab SALAMAT MOSTAGHİM

doi:https://doi.org/10.15672/hujms.474938

Article Details

A numerical algorithm for solving the Cauchy singular integral equation based on Hermite polynomials

Authors:

Behrouz PARSA MOGHADDAM | J. A. TENREİRO MACHADO | Parisa SATTARİ SHAJARİ | Zeynab SALAMAT MOSTAGHİM

Publisher:

Hacettepe University

Main Topics:

Mathematics

Journal:

Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 3, pp.974-983

Document Type:

Article

Publication Date:

6/2020

Document Language:

English

Document ID (Org No.):

2000451064

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.474938

Abstract:

 

A numerical algorithm based on Hermite polynomials for solving the Cauchy singular integral equation in the general form is presented. The Hermite polynomial interpolation of unknown functions is first introduced. The proposed technique is then used for approximating the solution of the Cauchy singular integral equation. This approach requires the solution of a system of linear algebraic equations. Two examples demonstrate the effectiveness of the proposed method.

Article Details

A numerical algorithm for solving the Cauchy singular integral equation based on Hermite polynomials

Authors: Behrouz PARSA MOGHADDAM | J. A. TENREİRO MACHADO | Parisa SATTARİ SHAJARİ | Zeynab SALAMAT MOSTAGHİM

Publisher: Hacettepe University

Main Topics: Mathematics

Journal: Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 3, pp.974-983

Document Type: Article

Publication Date: 6/2020

Document Language: English

Document ID (Org No.): 2000451064

Frequency: Bimonthly

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.474938

Issues

Authors:

Behrouz PARSA MOGHADDAM | J. A. TENREİRO MACHADO | Parisa SATTARİ SHAJARİ | Zeynab SALAMAT MOSTAGHİM

Publisher:

Hacettepe University

Main Topics:

Mathematics

Journal:

Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 3, pp.974-983

Document Type:

Article

Publication Date:

6/2020

Document Language:

English

Document ID (Org No.):

2000451064

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.474938