Numerical Analysis of Non-Linear Equations with Mathematica

Esin İbiş

Article Details

Numerical Analysis of Non-Linear Equations with Mathematica

Authors:

Esin İbiş

Publisher:

Bayburt University

Main Topics:

Bilgisayar Yazılımı | Yazılım Mühendisliği (Diğer)

Journal:

Bayburt Üniversitesi Fen Bilimleri Dergisi Vol.8 Issue 1, pp.32-43

Document Type:

Article

Publication Date:

6/2025

Document Language:

Turkish

Document ID (Org No.):

2001353336

pISSN:

2667-579X

Keywords:

Abstract:

 Numerical Analysis is a scientific calculation method that is important in engineering and natural sciences. This method of calculation examines the algorithms used in approximate solutions of mathematical analysis problems. On the other hand, Mathematica is a software system that eliminates loss of time for operations that require intensive calculations. In this article, numerical analysis of nonlinear equations with Mathematica is examined. Firstly, the Bisection Method, Fixed Point Method, Newton-Raphson Method, Secant Method and Regula False Method used in the numerical analysis of nonlinear equations are explained. Then, the relevant example of the given methods was solved using Mathematica and the results were obtained.

 Numerical Analysis is a scientific calculation method that is important in engineering and natural sciences. This method of calculation examines the algorithms used in approximate solutions of mathematical analysis problems. On the other hand, Mathematica is a software system that eliminates loss of time for operations that require intensive calculations. In this article, numerical analysis of nonlinear equations with Mathematica is examined. Firstly, the Bisection Method, Fixed Point Method, Newton-Raphson Method, Secant Method and Regula False Method used in the numerical analysis of nonlinear equations are explained. Then, the relevant example of the given methods was solved using Mathematica and the results were obtained.

 Numerical Analysis is a scientific calculation method that is important in engineering and natural sciences. This method of calculation examines the algorithms used in approximate solutions of mathematical analysis problems. On the other hand, Mathematica is a software system that eliminates loss of time for operations that require intensive calculations. In this article, numerical analysis of nonlinear equations with Mathematica is examined. Firstly, the Bisection Method, Fixed Point Method, Newton-Raphson Method, Secant Method and Regula False Method used in the numerical analysis of nonlinear equations are explained. Then, the relevant example of the given methods was solved using Mathematica and the results were obtained.

 Nümerik Analiz, mühendislik ve doğa bilimlerinde önem arz eden bir bilimsel hesaplama yöntemidir. Bu hesaplama yöntemi, matematiksel analiz problemlerinin yaklaşık çözümlerinde kullanılan algoritmaları inceler. Mathematica ise yoğun hesaplamalar gerektiren işlemler için zaman kaybını ortadan kaldıran bir yazılım sistemidir. Bu makalede lineer olmayan denklemlerin Mathematica ile nümerik analizleri incelenmiştir. İlk olarak, lineer olmayan denklemlerin nümerik analizinde kullanılan Bisection Yöntemi, Sabit Nokta Yöntemi, Newton-Raphson Yöntemi, Secant Yöntemi ve Regula Falsi Yöntemi açıklanmıştır. Daha sonra ise verilen yöntemlerin ilgili örneği Mathematica kullanarak çözülmüş ve sonuçları elde edilmiştir.

Article Details

Numerical Analysis of Non-Linear Equations with Mathematica

Authors:

Esin İbiş

Publisher:

Bayburt University

Main Topics:

Bilgisayar Yazılımı | Yazılım Mühendisliği (Diğer)

Journal:

Bayburt Üniversitesi Fen Bilimleri Dergisi Vol.8 Issue 1, pp.32-43

Document Type:

Article

Publication Date:

6/2025

Document Language:

Turkish

Document ID (Org No.):

2001353336

pISSN:

2667-579X

Software

Method

Mathematica

Numerical Analysis

Non-Linear EquationsYazılım

Yöntem

Mathematica

Nümerik Analiz

Lineer Olmayan Denklem

Issues

Article Details

Authors: Esin İbiş

Publisher: Bayburt University

Main Topics: Bilgisayar Yazılımı | Yazılım Mühendisliği (Diğer)

Journal: Bayburt Üniversitesi Fen Bilimleri Dergisi Vol.8 Issue 1, pp.32-43

Document Type: Article

Publication Date: 6/2025

Document Language: Turkish

Document ID (Org No.): 2001353336

pISSN: 2667-579X

Issues

Authors:

Esin İbiş

Publisher:

Bayburt University

Main Topics:

Bilgisayar Yazılımı | Yazılım Mühendisliği (Diğer)

Journal:

Bayburt Üniversitesi Fen Bilimleri Dergisi Vol.8 Issue 1, pp.32-43

Document Type:

Article

Publication Date:

6/2025

Document Language:

Turkish

Document ID (Org No.):

2001353336

pISSN:

2667-579X