Bazı Rastgele Kısmi Diferansiyel Denklemlerin Diferansiyel Dönüşüm Metodu ve Laplace- Padé Metodu Kullanarak Çözümü

Halil ANAÇ; Mehmet MERDAN; Zafer BEKİRYAZICI; Tülay KESEMEN

doi:https://doi.org/10.17714/gumusfenbil.404332

Makale detayları

Bazı Rastgele Kısmi Diferansiyel Denklemlerin Diferansiyel Dönüşüm Metodu ve Laplace- Padé Metodu Kullanarak Çözümü

Yazarlar:

Halil ANAÇ | Mehmet MERDAN | Zafer BEKİRYAZICI | Tülay KESEMEN

Yayıncı:

Gumushane University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Gümüşhane University Journal of Science and Technology 2019 Vol.9 Issue 1, pp.108-118

Belge Tipi:

Makale

Yayın Tarihi:

1/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000470503

Sıklık:

Üç Aylık

eISSN:

2146-538X

pISSN:

2146-538X

DOI:

https://doi.org/10.17714/gumusfenbil.404332

Özet:

 





In this study, the solutions of
random partial differential equations are examined. The parameters and the
initial conditions of the random component partial differential equations are
investigated with Beta distribution. A few examples are given to illustrate the
efficiency of the solutions obtained with the random Differential
Transformation Method (rDTM). Functions for the expected values and the
variances of the approximate analytical solutions of the random equations are
obtained. Random Differential Transformation Method is applied to examine the
solutions of these partial differential equations and MAPLE software is used
for the finding the solutions and drawing the figures. Also the Laplace-
Padé Method is used to improve the convergence of the solutions. The
results for the random component partial differential equations with Beta
distribution are analysed to investigate effects of this distribution on the
results. Random characteristics of the equations are compared with the results
of the deterministic partial differential equations. The efficiency of the
method for the random component partial differential equations is investigated
by comparing the formulas for the expected values and variances with results
from the simulations of the random equations. 







.

Makale detayları

Bazı Rastgele Kısmi Diferansiyel Denklemlerin Diferansiyel Dönüşüm Metodu ve Laplace- Padé Metodu Kullanarak Çözümü

Yazarlar: Halil ANAÇ | Mehmet MERDAN | Zafer BEKİRYAZICI | Tülay KESEMEN

Yayıncı: Gumushane University

Ana Başlıklar: Uygulamalı fizik

Dergi: Gümüşhane University Journal of Science and Technology 2019 Vol.9 Issue 1, pp.108-118

Belge Tipi: Makale

Yayın Tarihi: 1/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000470503

Sıklık: Üç Aylık

eISSN: 2146-538X

pISSN: 2146-538X

DOI: https://doi.org/10.17714/gumusfenbil.404332

Sayı

Yazarlar:

Halil ANAÇ | Mehmet MERDAN | Zafer BEKİRYAZICI | Tülay KESEMEN

Yayıncı:

Gumushane University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Gümüşhane University Journal of Science and Technology 2019 Vol.9 Issue 1, pp.108-118

Belge Tipi:

Makale

Yayın Tarihi:

1/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000470503

Sıklık:

Üç Aylık

eISSN:

2146-538X

pISSN:

2146-538X

DOI:

https://doi.org/10.17714/gumusfenbil.404332