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math.NA2021★ 1 cited
A stability preserved time-integration method for nonlinear advection-diffusion models
Huseyin Tunc, Murat Sari
A new implicit-explicit local differential transform method (IELDTM) is derived here for time integration of the nonlinear advection-diffusion processes represented by (2+1)-dimens…
math.NA2021
A spatial local method for solving 2D and 3D advection-diffusion equations
Huseyin Tunc, Murat Sari
In this study, an implicit-explicit local differential transform method (IELDTM) based on Taylor series representations is produced for solving 2D and 3D advection-diffusion equati…
math.NA2021★ 2 cited
A New Implicit-Explicit Local Method to Capture Stiff Behavior with COVID-19 Outbreak Application
Huseyin Tunc, Murat Sari
In this paper, a new implicit-explicit local method with an arbitrary order is produced for stiff initial value problems. Here, a general method for one-step time integrations has…