Piecewise polynomial numerical method for Volterra integral equations of the fourth-kind with constant delay

Saeed Pishbin; Parviz Darania

Makale detayları

Piecewise polynomial numerical method for Volterra integral equations of the fourth-kind with constant delay

Yazarlar:

Saeed Pishbin | Parviz Darania

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 1, pp.74-87

Belge Tipi:

Makale

Yayın Tarihi:

2/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001312238

pISSN:

2651-477X

Anahtar kelimeler:

Özet:

 This work studies the fourth-kind integral equation as a mixed system of first and second-kind Volterra integral equations VIEs with constant delay. Regularity, smoothing properties and uniqueness of the solution of this mixed system are obtained by using theorems which give the relevant conditions related to first and second-kind VIEs with delays. A numerical collocation algorithm making use of piecewise polynomials is designed and the global convergence of the proposed numerical method is established. Some typical numerical experiments are also performed which confirm our theoretical result.

 This work studies the fourth-kind integral equation as a mixed system of first and second-kind Volterra integral equations VIEs with constant delay. Regularity, smoothing properties and uniqueness of the solution of this mixed system are obtained by using theorems which give the relevant conditions related to first and second-kind VIEs with delays. A numerical collocation algorithm making use of piecewise polynomials is designed and the global convergence of the proposed numerical method is established. Some typical numerical experiments are also performed which confirm our theoretical result.

 This work studies the fourth-kind integral equation as a mixed system of first and second-kind Volterra integral equations VIEs with constant delay. Regularity, smoothing properties and uniqueness of the solution of this mixed system are obtained by using theorems which give the relevant conditions related to first and second-kind VIEs with delays. A numerical collocation algorithm making use of piecewise polynomials is designed and the global convergence of the proposed numerical method is established. Some typical numerical experiments are also performed which confirm our theoretical result.

 This work studies the fourth-kind integral equation as a mixed system of first and second-kind Volterra integral equations VIEs with constant delay. Regularity, smoothing properties and uniqueness of the solution of this mixed system are obtained by using theorems which give the relevant conditions related to first and second-kind VIEs with delays. A numerical collocation algorithm making use of piecewise polynomials is designed and the global convergence of the proposed numerical method is established. Some typical numerical experiments are also performed which confirm our theoretical result.

Makale detayları

Piecewise polynomial numerical method for Volterra integral equations of the fourth-kind with constant delay

Yazarlar:

Saeed Pishbin | Parviz Darania

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 1, pp.74-87

Belge Tipi:

Makale

Yayın Tarihi:

2/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001312238

pISSN:

2651-477X

fourth-kind integral equations

Volterra integral equations with constant delay

piecewise polynomial collocation method

convergence analysis

Sayı

Makale detayları

Piecewise polynomial numerical method for Volterra integral equations of the fourth-kind with constant delay

Yazarlar: Saeed Pishbin | Parviz Darania

Yayıncı: Hacettepe University

Ana Başlıklar: Mathematical Sciences

Dergi: Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 1, pp.74-87

Belge Tipi: Makale

Yayın Tarihi: 2/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001312238

pISSN: 2651-477X

fourth-kind integral equations

Volterra integral equations with constant delay

piecewise polynomial collocation method

convergence analysis

Sayı

Yazarlar:

Saeed Pishbin | Parviz Darania

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 1, pp.74-87

Belge Tipi:

Makale

Yayın Tarihi:

2/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001312238

pISSN:

2651-477X