Numerical Study to Coupled Three Dimensional Reaction Diffusion System

Shahid Hasnain*, Muhammad Saqib, Muhammad F. Afzaal, Iqtadar Hussain

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


The numerical solution of reaction diffusion systems may require more computational efforts if the change in concentrations occurs extremely rapid. This is because more time points are needed to resolve the reaction diffusion process accurately. In this paper, three finite difference implicit schemes are used which are unconditionally stable in order to enhance consistency. Novelty is reported by compact finite difference implicit scheme on a reaction diffusion system with higher accuracy measured by L-{2}, L-{\infty } , and Relative-{error} norms. Efficiency is observed by reducing grid space along small temporal steps. CPU performance, transmission capacity along comparison of three schemes shows excellent agreement with the analytical solution.

Original languageEnglish (US)
Article number8674554
Pages (from-to)46695-46705
Number of pages11
JournalIEEE Access
StatePublished - 2019


  • alternating direction implicit
  • Douglas scheme
  • higher order compact scheme
  • Reaction diffusion systems
  • Thomas algorithm

ASJC Scopus subject areas

  • General Computer Science
  • General Materials Science
  • General Engineering


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