Application of Aboodh homotopy perturbation transform method for fractional-order convection–reaction–diffusion equation within caputo and atangana–baleanu …

H Yasmin - Symmetry, 2023 - mdpi.com
This article is an analysis of fractional nonlinear convection–reaction–diffusion equations
involving the fractional Atangana–Baleanu and Caputo derivatives. An efficient Aboodh …

SUPG-YZβ computation of chemically reactive convection-dominated nonlinear models

S Cengizci, Ö Uğur, S Natesan - International Journal of Computer …, 2023 - Taylor & Francis
In this computational study, we deal with the stabilized finite element solutions of convection-
dominated models having nonlinear reaction mechanisms. The existence of advection terms …

Discontinuous Galerkin method with arbitrary polygonal finite elements

J Jaśkowiec, P Pluciński, A Stankiewicz - Finite Elements in Analysis and …, 2016 - Elsevier
The paper presents the efficient application of discontinuous Galerkin (DG) method on
polygonal meshes. Three versions of the DG method in which the approximation is …

An enhanced SUPG-stabilized finite element formulation for simulating natural phenomena governed by coupled system of reaction-convection-diffusion equations

S Cengizci - Mathematical Modelling and Numerical Simulation with …, 2023 - dergipark.org.tr
Many phenomena arising in nature, science, and industry can be modeled by a coupled
system of reaction-convection-diffusion (RCD) equations. Unfortunately, obtaining analytical …

[HTML][HTML] Collocation method for convection-reaction-diffusion equation

S Sharifi, J Rashidinia - Journal of King Saud University-Science, 2019 - Elsevier
A collocation method based on B-spline is developed for solving Convection-Reaction-
Diffusion equation subjected to Dirichlet's boundary conditions. The method comprises an …

Moving mesh discontinuous Galerkin methods for PDEs with traveling waves

M Uzunca, B Karasözen, T Küçükseyhan - Applied Mathematics and …, 2017 - Elsevier
In this paper, a moving mesh discontinuous Galerkin (dG) method is developed for nonlinear
partial differential equations (PDEs) with traveling wave solutions. The moving mesh …

An implicit-explicit local method for parabolic partial differential equations

H Tunc, M Sari - Engineering Computations, 2022 - emerald.com
Purpose The purpose of this article is to derive an implicit-explicit local differential transform
method (IELDTM) in dealing with the spatial approximation of the stiff advection-diffusion …

Pricing European and American options under Heston model using discontinuous Galerkin finite elements

S Kozpınar, M Uzunca, B Karasözen - Mathematics and Computers in …, 2020 - Elsevier
This paper deals with pricing of European and American options, when the underlying asset
price follows Heston model, via the interior penalty discontinuous Galerkin finite element …

[PDF][PDF] Faaliyet Raporu

FENB ENSTITUSU - 2016 - fbe.deu.edu.tr
FAALIYET RAPoRU Page 1 , 2019 YILI DElJ FEN BILIMLERI ENSTITUSU FAALIYET RAPoRU
Page 2 IClNI)t]KILIıR üsr yöNgricİ S[JNUŞU....,. I- GENEL BiLGiLER...... A- Misyon ve Vizyon …

[BUCH][B] Adaptive discontinuous Galerkin methods for non-linear reactive flows

M Uzunca - 2016 - Springer
Production of drinkable water for human consumption and for other supply purposes, as well
as exploitation of available geo-resources by human intervention, are the main …