NUMERICAL SOLUTION OF A 2D- DIFFUSION REACTION PROBLEM MODELLING THE DENSITY OF DI-VACANCIES AND VACANCIES IN A METAL

Volume: 7 Number: 1 June 1, 2017
  • Serdal Pamuk
EN

NUMERICAL SOLUTION OF A 2D- DIFFUSION REACTION PROBLEM MODELLING THE DENSITY OF DI-VACANCIES AND VACANCIES IN A METAL

Abstract

A decomposition solution of a diffusion reaction problem, which models the density of di-vacancies and vacancies in a metal is presented. The results are compared with the numerical solutions. Zero - diffusion solutions are obtained numerically and some figures are illustrated..

Keywords

References

  1. Adomian,G., (1994), Solving Frontier Problems of Physics: the Decomposition Method, Kluwer
  2. Academic Publishers, Boston. Ali,E.J., (2012), A New Technique of Initial Boundary Value Problems Using Adomian Decompo- sition Method, Int. Math. Forum., 7 (17), pp. 799–814.
  3. Brandes,E.A. and Brook,G.B., (1992), Smithells Metals Reference Book, Seventh Edition
  4. Butterworth-Heinemann, Oxford. Cherruault,Y. and Adomian,G., (1993), Decomposition methods: a new proof of convergence, Math. Comp. Model., 18, pp.103-106.
  5. Dieter,G.E., (1986), Mechanical Metallurgy, Third Edition, McGraw-Hill, New York.
  6. Dudarev,S.L., (2013), Density Functional Theory Models for Radiation Damage , Annu. Rev. Mater. Res., 43, pp.35-61.
  7. Hare,G. and Roelofs,L.D., (2002), Diffusion of vacancies and adatoms on stepped crystalline sur- faces , Surface Science., 511, pp.283-293.
  8. Hoang,S., Baraille,R., Talagrand,O., Nguyen,T.L., and De Mey,P., (1997), Approximation approach for nonlinear filtering problem with time dependent noises, Kybernetika., 33(5), pp.557-576.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Serdal Pamuk This is me

Publication Date

June 1, 2017

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2017 Volume: 7 Number: 1

APA
Pamuk, S. (2017). NUMERICAL SOLUTION OF A 2D- DIFFUSION REACTION PROBLEM MODELLING THE DENSITY OF DI-VACANCIES AND VACANCIES IN A METAL. TWMS Journal of Applied and Engineering Mathematics, 7(1), 165-172. https://izlik.org/JA57SJ53RG
AMA
1.Pamuk S. NUMERICAL SOLUTION OF A 2D- DIFFUSION REACTION PROBLEM MODELLING THE DENSITY OF DI-VACANCIES AND VACANCIES IN A METAL. JAEM. 2017;7(1):165-172. https://izlik.org/JA57SJ53RG
Chicago
Pamuk, Serdal. 2017. “NUMERICAL SOLUTION OF A 2D- DIFFUSION REACTION PROBLEM MODELLING THE DENSITY OF DI-VACANCIES AND VACANCIES IN A METAL”. TWMS Journal of Applied and Engineering Mathematics 7 (1): 165-72. https://izlik.org/JA57SJ53RG.
EndNote
Pamuk S (June 1, 2017) NUMERICAL SOLUTION OF A 2D- DIFFUSION REACTION PROBLEM MODELLING THE DENSITY OF DI-VACANCIES AND VACANCIES IN A METAL. TWMS Journal of Applied and Engineering Mathematics 7 1 165–172.
IEEE
[1]S. Pamuk, “NUMERICAL SOLUTION OF A 2D- DIFFUSION REACTION PROBLEM MODELLING THE DENSITY OF DI-VACANCIES AND VACANCIES IN A METAL”, JAEM, vol. 7, no. 1, pp. 165–172, June 2017, [Online]. Available: https://izlik.org/JA57SJ53RG
ISNAD
Pamuk, Serdal. “NUMERICAL SOLUTION OF A 2D- DIFFUSION REACTION PROBLEM MODELLING THE DENSITY OF DI-VACANCIES AND VACANCIES IN A METAL”. TWMS Journal of Applied and Engineering Mathematics 7/1 (June 1, 2017): 165-172. https://izlik.org/JA57SJ53RG.
JAMA
1.Pamuk S. NUMERICAL SOLUTION OF A 2D- DIFFUSION REACTION PROBLEM MODELLING THE DENSITY OF DI-VACANCIES AND VACANCIES IN A METAL. JAEM. 2017;7:165–172.
MLA
Pamuk, Serdal. “NUMERICAL SOLUTION OF A 2D- DIFFUSION REACTION PROBLEM MODELLING THE DENSITY OF DI-VACANCIES AND VACANCIES IN A METAL”. TWMS Journal of Applied and Engineering Mathematics, vol. 7, no. 1, June 2017, pp. 165-72, https://izlik.org/JA57SJ53RG.
Vancouver
1.Serdal Pamuk. NUMERICAL SOLUTION OF A 2D- DIFFUSION REACTION PROBLEM MODELLING THE DENSITY OF DI-VACANCIES AND VACANCIES IN A METAL. JAEM [Internet]. 2017 Jun. 1;7(1):165-72. Available from: https://izlik.org/JA57SJ53RG