An efficient numerical method for a singularly perturbed Volterra-Fredholm integro-differential equation

Muhammet Enes Durmaz; Ömer Yapman; Mustafa Kudu; Gabil Amirali

Makale detayları

An efficient numerical method for a singularly perturbed Volterra-Fredholm integro-differential equation

Yazarlar:

Muhammet Enes Durmaz | Ömer Yapman | Mustafa Kudu | Gabil Amirali

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 2, pp.326-339

Belge Tipi:

Makale

Yayın Tarihi:

3/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001286619

pISSN:

2651-477X

Anahtar kelimeler:

Özet:

 The scope of this study is to establish an effective approximation method for linear first order singularly perturbed Volterra-Fredholm integro-differential equations. The finite difference scheme is constructed on Shishkin mesh by using appropriate interpolating quadrature rules and exponential basis function. The recommended method is second order convergent in the discrete maximum norm. Numerical results illustrating the preciseness and computationally attractiveness of the proposed method are presented.

 The scope of this study is to establish an effective approximation method for linear first order singularly perturbed Volterra-Fredholm integro-differential equations. The finite difference scheme is constructed on Shishkin mesh by using appropriate interpolating quadrature rules and exponential basis function. The recommended method is second order convergent in the discrete maximum norm. Numerical results illustrating the preciseness and computationally attractiveness of the proposed method are presented.

 The scope of this study is to establish an effective approximation method for linear first order singularly perturbed Volterra-Fredholm integro-differential equations. The finite difference scheme is constructed on Shishkin mesh by using appropriate interpolating quadrature rules and exponential basis function. The recommended method is second order convergent in the discrete maximum norm. Numerical results illustrating the preciseness and computationally attractiveness of the proposed method are presented.

 The scope of this study is to establish an effective approximation method for linear first order singularly perturbed Volterra-Fredholm integro-differential equations. The finite difference scheme is constructed on Shishkin mesh by using appropriate interpolating quadrature rules and exponential basis function. The recommended method is second order convergent in the discrete maximum norm. Numerical results illustrating the preciseness and computationally attractiveness of the proposed method are presented.

Makale detayları

An efficient numerical method for a singularly perturbed Volterra-Fredholm integro-differential equation

Yazarlar:

Muhammet Enes Durmaz | Ömer Yapman | Mustafa Kudu | Gabil Amirali

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 2, pp.326-339

Belge Tipi:

Makale

Yayın Tarihi:

3/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001286619

pISSN:

2651-477X

finite difference methods

integro-differential equation

Shishkin mesh

singular perturbation

uniform convergence

Sayı

Makale detayları

An efficient numerical method for a singularly perturbed Volterra-Fredholm integro-differential equation

Yazarlar: Muhammet Enes Durmaz | Ömer Yapman | Mustafa Kudu | Gabil Amirali

Yayıncı: Hacettepe University

Ana Başlıklar: Mathematical Sciences

Dergi: Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 2, pp.326-339

Belge Tipi: Makale

Yayın Tarihi: 3/2023

Belge Dili: İngilizce

Document ID (Org No.): 2001286619

pISSN: 2651-477X

finite difference methods

integro-differential equation

Shishkin mesh

singular perturbation

uniform convergence

Sayı

Yazarlar:

Muhammet Enes Durmaz | Ömer Yapman | Mustafa Kudu | Gabil Amirali

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 2, pp.326-339

Belge Tipi:

Makale

Yayın Tarihi:

3/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001286619

pISSN:

2651-477X