Modified Finite Difference Method for Solution of Two-interval Boundary Value Problems with Transition Conditions

Semih ÇAVUŞOĞLU; Oktay MUKHTAROV

doi:https://doi.org/10.47000/tjmcs.1007380

Makale detayları

Modified Finite Difference Method for Solution of Two-interval Boundary Value Problems with Transition Conditions

Yazarlar:

Semih ÇAVUŞOĞLU | Oktay MUKHTAROV

Yayıncı:

Matematikçiler Derneği

Ana Başlıklar:

Matematik

Dergi:

Turkish Journal of Mathematics and Computer Science 2022 Vol.14 Issue 1, pp.98-106

Belge Tipi:

Makale

Yayın Tarihi:

6/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000638335

Sıklık:

İki Yıllık

eISSN:

2148-1830

DOI:

https://doi.org/10.47000/tjmcs.1007380

Özet:

 

In this study, we have proposed a new modification of classical Finite Difference Method (FDM) for the solution of boundary value problems which are defined on two disjoint intervals and involved additional transition conditions at an common end of these intervals. The proposed modification of FDM differs from the classical FDM in calculating the iterative terms of numerical solutions. To illustrate the efficiency and reliability of the proposed modification of FDM some examples are solved. The obtained results are compared with those obtained by the standart FDM and by the analytical method. Corresponding graphical illustration are also presented.

Makale detayları

Modified Finite Difference Method for Solution of Two-interval Boundary Value Problems with Transition Conditions

Yazarlar: Semih ÇAVUŞOĞLU | Oktay MUKHTAROV

Yayıncı: Matematikçiler Derneği

Ana Başlıklar: Matematik

Dergi: Turkish Journal of Mathematics and Computer Science 2022 Vol.14 Issue 1, pp.98-106

Belge Tipi: Makale

Yayın Tarihi: 6/2022

Belge Dili: İngilizce

Document ID (Org No.): 2000638335

Sıklık: İki Yıllık

eISSN: 2148-1830

DOI: https://doi.org/10.47000/tjmcs.1007380

Sayı

Yazarlar:

Semih ÇAVUŞOĞLU | Oktay MUKHTAROV

Yayıncı:

Matematikçiler Derneği

Ana Başlıklar:

Matematik

Dergi:

Turkish Journal of Mathematics and Computer Science 2022 Vol.14 Issue 1, pp.98-106

Belge Tipi:

Makale

Yayın Tarihi:

6/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000638335

Sıklık:

İki Yıllık

eISSN:

2148-1830

DOI:

https://doi.org/10.47000/tjmcs.1007380