Browsing Matematik Bölümü by Author "Korkmaz, Alper"

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A novel time efficient structure-preserving splitting method for the solution of two-dimensional reaction-diffusion systems

Ahmed, Nauman; Korkmaz, Alper; Rafiq, M.; Baleanu, Dumitru; Alshomrani, Ali Sale; Rehman, M. A.; Iqbal, M. S. (2020-05-06)

In this article, the first part is concerned with the important questions related to the existence and uniqueness of solutions for nonlinear reaction-diffusion systems. Secondly, an efficient positivity-preserving operator ...
Positivity preserving computational techniques for nonlinear autocatalytic chemical reaction model

Ahmed, Nauman; Baleanu, Dumitru; Korkmaz, Alper; Rafiq, Muhammad; Rehman, Muhammad Aziz-Ur; Ali, Mubasher (2020)

In many physical problems, positivity is one of the most prevalent and imperative attribute of diverse mathematical models such as concentration of chemical reactions, population dynamics etc. However, the numerical ...
Solitons of the (1 + 1) - and (2 + 1) -Dimensional Chiral Nonlinear Schrodinger Equations with the Jacobi Elliptical Function Method

Tala-Tebue, Eric; Rezazadeh, Hadi; Javeed, Shumaila; Baleanu, Dumitru; Korkmaz, Alper (2023-09)

Our objective is to find new analytical solutions of the (1 + 1) - and (2 + 1) -dimensional Chiral nonlinear Schrodinger (CNLS) equations using the Jacobi elliptical function method. The CNLS equations play a significant ...

Now showing items 1-3 of 3

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