On Solutions Of Random Partial Differential Equations With Laplace Adomian Decomposition Method

Year 2023, Volume: 44 Issue: 1, 160 - 169, 26.03.2023

Mehmet Merdan Nihal Atasoy

https://doi.org/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.

Keywords

Random partial differential equation, Normal distribution, Laplace-Adomian decomposition method, Gamma distribution.

Project Number

yok

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