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On Solutions Of Random Partial Differential Equations With Laplace Adomian Decomposition Method
2023
Journal:  
Cumhuriyet Science Journal
Author:  
DOI:  
10.17776/csj.1120077
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.

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Cumhuriyet Science Journal

Field :   Fen Bilimleri ve Matematik; Mühendislik

Journal Type :   Uluslararası

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Article : 1.227
Cite : 645
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Cumhuriyet Science Journal