Improved Jacobi Matrix Method for Solving Multi-Functional Integro-Differential Equations with Mixed Delays

Muhammet Mustafa BAHŞI; Mehmet ÇEVİK

Article Details

Improved Jacobi Matrix Method for Solving Multi-Functional Integro-Differential Equations with Mixed Delays

Authors:

Muhammet Mustafa BAHŞI | Mehmet ÇEVİK

Publisher:

Celal Bayar University

Main Topics:

Applied physics

Journal:

Celal Bayar University Journal of Science 2020 Vol.16 Issue 4, pp.393-401

Document Type:

Article

Publication Date:

12/2020

Document Language:

English

Document ID (Org No.):

2000705806

Frequency:

Quarterly

eISSN:

1305-1385

pISSN:

1305-130X

Abstract:

 

In this study, we suggested a novel approach for solving multi-functional integro-differential equations with mixed delays, by using orthogonal Jacobi polynomials. These equations include various classes of differential equations, integro-differential equations and delay differential equations. This new algorithm proposes solutions for each class of these equations and combinations of equation classes, such as Volterra integro-differential equation, Fredholm integro-differential equation, pantograph-delay differential equations. Since the present method is based on fundamental matrix relations and collocation points, numerical solutions can be obtained easily by means of symbolic computation programs. We developed an error estimation algorithm based on the present method for the verification of solutions. Application of the method is illustrated by four numerical examples.

Article Details

Improved Jacobi Matrix Method for Solving Multi-Functional Integro-Differential Equations with Mixed Delays

Authors: Muhammet Mustafa BAHŞI | Mehmet ÇEVİK

Publisher: Celal Bayar University

Main Topics: Applied physics

Journal: Celal Bayar University Journal of Science 2020 Vol.16 Issue 4, pp.393-401

Document Type: Article

Publication Date: 12/2020

Document Language: English

Document ID (Org No.): 2000705806

Frequency: Quarterly

eISSN: 1305-1385

pISSN: 1305-130X

Issues

Authors:

Muhammet Mustafa BAHŞI | Mehmet ÇEVİK

Publisher:

Celal Bayar University

Main Topics:

Applied physics

Journal:

Celal Bayar University Journal of Science 2020 Vol.16 Issue 4, pp.393-401

Document Type:

Article

Publication Date:

12/2020

Document Language:

English

Document ID (Org No.):

2000705806

Frequency:

Quarterly

eISSN:

1305-1385

pISSN:

1305-130X