EFFICIENT EXPLICIT NONSTANDARD FINITE DIFFERENCE SCHEME WITH POSITIVITY-PRESERVING PROPERTY

Mohammad Mehdizadeh Khalsaraei; Reza Shokri Jahandizi

EFFICIENT EXPLICIT NONSTANDARD FINITE DIFFERENCE SCHEME WITH POSITIVITY-PRESERVING PROPERTY

Year 2017, Volume: 30 Issue: 1, 259 - 268, 14.03.2017

Mohammad Mehdizadeh Khalsaraei Reza Shokri Jahandizi

Abstract

Parabolic equations in which advection-diffusion transports are coupled to reactions terms
arise in different science and engineering fields, including physical and biological systems.
Usually, in practical applications the unknowns are concentration of chemical compounds or
population sizes being positive also from their physical nature as well. Widely used schemes
such as classical finite difference may produce numerical drawbacks such as spurious oscillations
and negative values in the solution because of truncation errors and may then become
unstable. By using the nonstandard finite difference (NSFD) method, a better finite difference
model is constructed. The proposed NSFD scheme, guarantees the positivity of the solutions
and returns spurious oscillations free, solutions.

Keywords

Parabolic equations, Nonstandard finite differences; Positivity preserving.

Year 2017, Volume: 30 Issue: 1, 259 - 268, 14.03.2017

Mohammad Mehdizadeh Khalsaraei Reza Shokri Jahandizi

Abstract

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Details

Journal Section	Mathematics
Authors	Mohammad Mehdizadeh Khalsaraei This is me Reza Shokri Jahandizi This is me
Publication Date	March 14, 2017
Published in Issue	Year 2017 Volume: 30 Issue: 1

Cite

APA	Mehdizadeh Khalsaraei, M., & Shokri Jahandizi, R. (2017). EFFICIENT EXPLICIT NONSTANDARD FINITE DIFFERENCE SCHEME WITH POSITIVITY-PRESERVING PROPERTY. Gazi University Journal of Science, 30(1), 259-268.
AMA	Mehdizadeh Khalsaraei M, Shokri Jahandizi R. EFFICIENT EXPLICIT NONSTANDARD FINITE DIFFERENCE SCHEME WITH POSITIVITY-PRESERVING PROPERTY. Gazi University Journal of Science. March 2017;30(1):259-268.
Chicago	Mehdizadeh Khalsaraei, Mohammad, and Reza Shokri Jahandizi. “EFFICIENT EXPLICIT NONSTANDARD FINITE DIFFERENCE SCHEME WITH POSITIVITY-PRESERVING PROPERTY”. Gazi University Journal of Science 30, no. 1 (March 2017): 259-68.
EndNote	Mehdizadeh Khalsaraei M, Shokri Jahandizi R (March 1, 2017) EFFICIENT EXPLICIT NONSTANDARD FINITE DIFFERENCE SCHEME WITH POSITIVITY-PRESERVING PROPERTY. Gazi University Journal of Science 30 1 259–268.
IEEE	M. Mehdizadeh Khalsaraei and R. Shokri Jahandizi, “EFFICIENT EXPLICIT NONSTANDARD FINITE DIFFERENCE SCHEME WITH POSITIVITY-PRESERVING PROPERTY”, Gazi University Journal of Science, vol. 30, no. 1, pp. 259–268, 2017.
ISNAD	Mehdizadeh Khalsaraei, Mohammad - Shokri Jahandizi, Reza. “EFFICIENT EXPLICIT NONSTANDARD FINITE DIFFERENCE SCHEME WITH POSITIVITY-PRESERVING PROPERTY”. Gazi University Journal of Science 30/1 (March 2017), 259-268.
JAMA	Mehdizadeh Khalsaraei M, Shokri Jahandizi R. EFFICIENT EXPLICIT NONSTANDARD FINITE DIFFERENCE SCHEME WITH POSITIVITY-PRESERVING PROPERTY. Gazi University Journal of Science. 2017;30:259–268.
MLA	Mehdizadeh Khalsaraei, Mohammad and Reza Shokri Jahandizi. “EFFICIENT EXPLICIT NONSTANDARD FINITE DIFFERENCE SCHEME WITH POSITIVITY-PRESERVING PROPERTY”. Gazi University Journal of Science, vol. 30, no. 1, 2017, pp. 259-68.
Vancouver	Mehdizadeh Khalsaraei M, Shokri Jahandizi R. EFFICIENT EXPLICIT NONSTANDARD FINITE DIFFERENCE SCHEME WITH POSITIVITY-PRESERVING PROPERTY. Gazi University Journal of Science. 2017;30(1):259-68.