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On Solutions Of Random Partial Differential Equations With Laplace Adomian Decomposition Method
Abstract
In this study, random partial differential equations obtained by randomly choosing the coefficients or initial conditions of partial differential equations will be analyzed. With the help of Laplace Adomian Decomposition Method and Homotopy Analysis Method, approximate analytical solutions of random partial differential equations were obtained. Initial conditions and parameters are made into random variables with normal distribution and gamma distribution. Probability characteristics such as expected value, variance and confidence intervals of the obtained random partial differential equation are calculated. Obtained results will be plotted with the help of MATLAB (2013a), package program and random results will be interpreted.
Keywords
Supporting Institution
yok
Project Number
yok
References
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Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
March 26, 2023
Submission Date
May 23, 2022
Acceptance Date
February 5, 2023
Published in Issue
Year 2023 Volume: 44 Number: 1
APA
Merdan, M., & Atasoy, N. (2023). On Solutions Of Random Partial Differential Equations With Laplace Adomian Decomposition Method. Cumhuriyet Science Journal, 44(1), 160-169. https://doi.org/10.17776/csj.1120077