DOUBLE ELZAKI DECOMPOSITION METHOD FOR SOLVING PDES ARISING DURING LIQUID DROP FORMATIONS

Partial differential equations are essential to every branch of science and engineering. They are regarded as the fundamental components of the majority of mathematical and physical simulations with practical uses. Numerous partial differential equations may be useful in the description of a physical phenomenon that could help in a deeper comprehension of its behaviour. The importance of PDEs has drawn more attention in recent years, which motivates researchers to solve these equations analytically and numerically. In this study, we propose a new hybrid technique for solving partial differential equations arising during liquid drop formations. The proposed hybrid technique is the combustion of double Elzaki transform and the classical Adomian decomposition method. To illustrate the simplicity and accuracy of the proposed scheme, some experimental work has been carried out.

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Publication Details

Journal
JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES
Published
2024-11-08
DOI
https://doi.org/10.26782/jmcms.2024.11.00004
Primary Topic
Electrohydrodynamics and Fluid Dynamics
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article
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article

DOUBLE ELZAKI DECOMPOSITION METHOD FOR SOLVING PDES ARISING DURING LIQUID DROP FORMATIONS

Parvinder Kaur, Inderdeep Singh
JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES
Electrohydrodynamics and Fluid Dynamics
article

DOUBLE ELZAKI DECOMPOSITION METHOD FOR SOLVING PDES ARISING DURING LIQUID DROP FORMATIONS

Parvinder Kaur, Inderdeep Singh
article en

Abstract

Partial differential equations are essential to every branch of science and engineering. They are regarded as the fundamental components of the majority of mathematical and physical simulations with practical uses. Numerous partial differential equations may be useful in the description of a physical phenomenon that could help in a deeper comprehension of its behaviour. The importance of PDEs has drawn more attention in recent years, which motivates researchers to solve these equations analytically and numerically. In this study, we propose a new hybrid technique for solving partial differential equations arising during liquid drop formations. The proposed hybrid technique is the combustion of double Elzaki transform and the classical Adomian decomposition method. To illustrate the simplicity and accuracy of the proposed scheme, some experimental work has been carried out.

JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCESVol. 19(11)
Openalex Percentile: Top 82%
Electrohydrodynamics and Fluid Dynamics
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DOUBLE ELZAKI DECOMPOSITION METHOD FOR SOLVING PDES ARISING DURING LIQUID DROP FORMATIONS — Parvinder Kaur, Inderdeep Singh · JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES (2024) | TGRS Research Map | TGRS