Meijer's G-functions (MGFs) in micro-and nano-structures

A. Pishkoo, Maslina Darus

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

In this paper, the method known as Modified Separation of Variables is introduced. Partial Differential Equation (PDE) related to the reaction-diffusion (RD) process is solved using this method, while the solution of PDE in terms of Meijer's G-functions (MGFs), for two cases, (namely, time independent and time dependent), is also obtained. The paper also shows that micro- and nano-structures can be described using MGFs. Furthermore, initial and boundary conditions determine the shape of these structures and these conditions are influenced in the orders and the parameters of the MGFs.

Original languageEnglish
Pages (from-to)2478-2483
Number of pages6
JournalJournal of Computational and Theoretical Nanoscience
Volume10
Issue number10
DOIs
Publication statusPublished - Oct 2013

Fingerprint

Meijer's G-function
Nanostructures
Microstructure
partial differential equations
Partial differential equations
Partial differential equation
Separation of Variables
Reaction-diffusion
Diffusion Process
Initial conditions
Boundary conditions
boundary conditions
microstructure

Keywords

  • Meijer's G-function (MGF)
  • Micro-structures
  • Nano-structures
  • Partial differential equation (PDE)
  • Reaction-diffusion (RD)

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electrical and Electronic Engineering
  • Materials Science(all)
  • Computational Mathematics
  • Chemistry(all)

Cite this

Meijer's G-functions (MGFs) in micro-and nano-structures. / Pishkoo, A.; Darus, Maslina.

In: Journal of Computational and Theoretical Nanoscience, Vol. 10, No. 10, 10.2013, p. 2478-2483.

Research output: Contribution to journalArticle

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