Investigation of solution behavior of Differential Equations by Sumudu methods of random complex Partial Differential Equations

Mehmet Merdan; Merve Merdan; Rıdvan Şahin

doi:10.17776/csj.1256101

EN

Investigation of solution behavior of Differential Equations by Sumudu methods of random complex Partial Differential Equations

Abstract

In this study, solutions of random complex partial differential equations were found using the two-dimensional Sumudu transformation method(STM). The initial conditions of a deterministic equation or the non-homogeneous part of the equation are transformed into random variables to obtain a random complex partial differential equation. With the help of the properties of two-dimensional Sumudu and inverse Sumudu transformation, an approximate analytical solution of a complex partial differential equation with random constant coefficients was obtained by selecting a random variable with an initial condition of Normal and Gamma distribution. The probability characteristics of the resulting solutions, such as expected value and variance, were obtained and graphically shown with the help of the Maple package program.

Keywords

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Mehmet Merdan ^*
0000-0002-8509-3044
Türkiye

Merve Merdan
0000-0002-6045-6531
Türkiye

Rıdvan Şahin
0000-0002-4597-7320
Türkiye

Publication Date

September 30, 2024

Submission Date

February 27, 2023

Acceptance Date

August 13, 2024

Published in Issue

Year 2024 Volume: 45 Number: 3

DOI

https://doi.org/10.17776/csj.1256101

IZ

https://izlik.org/JA67WG66KD

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RIS / Bibtex

APA

Merdan, M., Merdan, M., & Şahin, R. (2024). Investigation of solution behavior of Differential Equations by Sumudu methods of random complex Partial Differential Equations. Cumhuriyet Science Journal, 45(3), 562-570. https://doi.org/10.17776/csj.1256101

Investigation of solution behavior of Differential Equations by Sumudu methods of random complex Partial Differential Equations

Abstract

Keywords

Öz

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite