دانشگاه گیلان
معاونت پژوهش و فناوری دانشگاه گیلان
انتشارات دانشگاه گیلان

 آمار

تعداد نشریات31
تعداد شماره‌ها748
تعداد مقالات7,108
تعداد مشاهده مقاله10,240,692
تعداد دریافت فایل اصل مقاله6,898,218
Negero, Naol, Duressa, Gemechis. (1401). An efficient numerical approach for singularly perturbed parabolic convection-diffusion problems with large time-lag. فیزیولوژی و بیوتکنولوژی آبزیان, 10(2), 173-110. doi: 10.22124/jmm.2021.19608.1682
Naol Negero; Gemechis Duressa. "An efficient numerical approach for singularly perturbed parabolic convection-diffusion problems with large time-lag". فیزیولوژی و بیوتکنولوژی آبزیان, 10, 2, 1401, 173-110. doi: 10.22124/jmm.2021.19608.1682
Negero, Naol, Duressa, Gemechis. (1401). 'An efficient numerical approach for singularly perturbed parabolic convection-diffusion problems with large time-lag', فیزیولوژی و بیوتکنولوژی آبزیان, 10(2), pp. 173-110. doi: 10.22124/jmm.2021.19608.1682
Negero, Naol, Duressa, Gemechis. An efficient numerical approach for singularly perturbed parabolic convection-diffusion problems with large time-lag. فیزیولوژی و بیوتکنولوژی آبزیان, 1401; 10(2): 173-110. doi: 10.22124/jmm.2021.19608.1682

An efficient numerical approach for singularly perturbed parabolic convection-diffusion problems with large time-lag

Journal of Mathematical Modeling
دوره 10، شماره 2، شهریور 2022، صفحه 173-110    اصل مقاله (377.14 K)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22124/jmm.2021.19608.1682
نویسندگان
Naol Negero* 1؛ Gemechis Duressa2
1Department of Mathematics, College of Natural Science, Wollega University, Nekemte, Ethiopia
2Department of Mathematics, College of Natural Science, Jimma University, Jimma, Ethiopia
چکیده
In this paper, an efficient finite difference method is presented for solving singularly perturbed linear second order parabolic problems with large time lag. The comparable numerical model is related to automatically controlled system with spatial diffusion of reactants  in the processes. This study focuses on the formation of boundary layer behavior or oscillatory behaviors due to the presence of delay parameters and perturbation parameter. The numerical scheme comprising an exponentially fitted spline based difference scheme on a uniform mesh supported by Crank-Nicolson Method is constructed. It is found that the present method converges with second order accurate in both temporal and spatial variables. The convergence analysis and running time of the program with varied grid sizes are then used to do the efficiency analysis. The proposed scheme  accuracy and efficiency are also demonstrated through numerical experiments.
کلیدواژه‌ها
Singular perturbation؛ parabolic convection-diffusion؛ large time delay؛ exponentially fitted method؛ parameter uniform convergence
آمار
تعداد مشاهده مقاله: 984
تعداد دریافت فایل اصل مقاله: 1,283


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب