A computational study of two-dimensional reaction–diffusion Brusselator system with applications in chemical processes
| Autor: | Ihteram Ali, Kottakkaran Sooppy Nisar, Sirajul Haq |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Finite differences
Physics 020209 energy Two dimensional reaction diffusion Brusselator system General Engineering Finite difference 02 engineering and technology Engineering (General). Civil engineering (General) System of linear equations 01 natural sciences 010305 fluids & plasmas Nonlinear system Brusselator Exact solutions in general relativity Lucas polynomials 0103 physical sciences Fibonacci polynomials Reaction–diffusion system 0202 electrical engineering electronic engineering information engineering Applied mathematics TA1-2040 Diffusion (business) |
| Zdroj: | Alexandria Engineering Journal, Vol 60, Iss 5, Pp 4381-4392 (2021) |
| ISSN: | 1110-0168 |
| Popis: | In this paper, an effective numerical technique based on Lucas and Fibonacci polynomials coupled with finite differences is developed for the solution of nonlinear reaction–diffusion Brusselator system. The system arises in modeling of chemical processes such as enzymatic reactions, plasma and laser physics in multiple coupling between modes and in the formation of ozone by atomic oxygen via a triple collision. The proposed scheme first converts the problem to discrete form and then with a collocation approach to a system of linear equations which is easily solvable. Performance of the method is checked by solving one- and two-dimensional test problems. Validation of the results is examined in terms of L ∞ , L 2 and relative error L R norms. In case of no exact solution, quality of computed solution is examined for small value of diffusion coefficient η . It is observed that when 1 - ξ + β > 0 , the solutions converges to equilibrium points ( β , ξ / β ) . |
| Databáze: | OpenAIRE |
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