Explicit stable finite difference methods for diffusion-reaction type equations
By the iteration of the theta-formula and treating the neighbors explicitly such as the
unconditionally positive finite difference (UPFD) methods, we construct a new 2-stage …
unconditionally positive finite difference (UPFD) methods, we construct a new 2-stage …
New analytical results and comparison of 14 numerical schemes for the diffusion equation with space-dependent diffusion coefficient
We examine the one-dimensional transient diffusion equation with a space-dependent
diffusion coefficient. Such equations can be derived from the Fokker–Planck equation and …
diffusion coefficient. Such equations can be derived from the Fokker–Planck equation and …
A Comparative Study of Explicit and Stable Time Integration Schemes for Heat Conduction in an Insulated Wall
Calculating heat transfer in building components is an important and nontrivial task. Thus, in
this work, we extensively examined 13 numerical methods to solve the linear heat …
this work, we extensively examined 13 numerical methods to solve the linear heat …
Comparison of old and new stable explicit methods for heat conduction, convection, and radiation in an insulated wall with thermal bridging
Using efficient methods to calculate heat transfer in building components is an important
issue. In the current work, 14 numerical methods are examined to solve the heat transfer …
issue. In the current work, 14 numerical methods are examined to solve the heat transfer …
Testing some different implementations of heat convection and radiation in the Leapfrog-Hopscotch algorithm
Based on many previous experiments, the most efficient explicit and stable numerical
method to solve heat conduction problems is the leapfrog-hopscotch scheme. In our last …
method to solve heat conduction problems is the leapfrog-hopscotch scheme. In our last …
[PDF][PDF] New Analytical Results and Numerical Schemes for Irregular Diffusion Processes
We examine the transient diffusion equation with time-and space-dependent diffusion
coefficients in 1D. Such transport equations can be easily derived from the Fokker-Planck …
coefficients in 1D. Such transport equations can be easily derived from the Fokker-Planck …
[PDF][PDF] Explicit stable finite difference methods for diffusion-reaction type equations. Mathematics 2021, 9, 3308
By the iteration of the theta-formula and treating the neighbors explicitly such as the
unconditionally positive finite difference (UPFD) methods, we construct a new 2-stage …
unconditionally positive finite difference (UPFD) methods, we construct a new 2-stage …
[PDF][PDF] A Comparative Study of Explicit and Stable Time Integration Schemes for Heat Conduction in an Insulated Wall. Buildings 2022, 12, 824
Calculating heat transfer in building components is an important and nontrivial task. Thus, in
this work, we extensively examined 13 numerical methods to solve the linear heat …
this work, we extensively examined 13 numerical methods to solve the linear heat …
[PDF][PDF] Stability and Consistency Analysis of FTCS Scheme for Unsteady Magnetohydrodynamic Fluid Flow over a Vertical Stretching Sheet
AO Nyakebogo, JM Kerongo… - Int. J. Sci. Res. in …, 2021 - researchgate.net
Accepted: 20/Aug/2021, Online: 31/Aug/2021 Abstract—This paper analyzed the Forward
Time Centered Space (FTCS) scheme for a two-dimensional fluid flow over a stretching …
Time Centered Space (FTCS) scheme for a two-dimensional fluid flow over a stretching …