On Solutions Of Random Partial Differential Equations With Laplace Adomian Decomposition Method-Reference-Cited by-同舟云学术

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

Published:2023-03-26 Issue:1 Volume:44 Page:160-169
ISSN:2587-2680
Container-title:Cumhuriyet Science Journal
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Author:

MERDAN Mehmet¹^ORCID,ATASOY Nihal²^ORCID

Affiliation:

1. GUMUSHANE UNIVERSITY, GUMUSHANE FACULTY OF ENGINEERING, MATHEMATICAL ENGINEERING PR.

2. GÜMÜŞHANE ÜNİVERSİTESİ, GÜMÜŞHANE MÜHENDİSLİK FAKÜLTESİ, MATEMATİK MÜHENDİSLİĞİ PR.

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.

Funder

yok

Publisher

Cumhuriyet University

Subject

General Medicine

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