scholarly journals Numerical Study of One Dimensional Fishers KPP Equation with Finite Difference Schemes

2017 ◽  
Vol 07 (01) ◽  
pp. 70-83 ◽  
Author(s):  
Shahid Hasnain ◽  
Muhammad Saqib
Keyword(s):  
Finite Difference ◽  
Numerical Study ◽  
Difference Schemes ◽  
Finite Difference Schemes ◽  
Kpp Equation ◽  
One Dimensional

scholarly journals Stability of Finite Difference Schemes on Irregular Meshes for Von Foerster-Type 1-D Equations

2007 ◽  
Vol 14 (4) ◽  
pp. 793-805
Author(s):  
Piotr Zwierkowski
Keyword(s):  
Finite Difference ◽  
Initial Value Problem ◽  
Difference Schemes ◽  
Spatial Variable ◽  
Finite Difference Schemes ◽  
Initial Value ◽  
One Dimensional ◽  
Irregular Meshes ◽  
The Stability

Abstract We consider a generalized von Foerster equation in one dimensional spatial variable and construct finite difference schemes for the initial value problem. The stability of finite difference schemes on irregular meshes generated by characteristics is studied.

scholarly journals MODIFIED EQUATION FOR A CLASS OF EXPLICIT AND IMPLICIT SCHEMES SOLVING ONE-DIMENSIONAL ADVECTION PROBLEM

2021 ◽  
Vol 61 (SI) ◽  
pp. 49-58
Author(s):  
Tomáš Bodnár ◽  
Philippe Fraunié ◽  
Karel Kozel
Keyword(s):  
Numerical Methods ◽  
Finite Difference ◽  
Difference Schemes ◽  
Finite Difference Schemes ◽  
Advection Equation ◽  
One Dimensional ◽  
Implicit Schemes ◽  
Explicit And Implicit Schemes ◽  
Spatial Support ◽  
Modified Equation

This paper presents the general modified equation for a family of finite-difference schemes solving one-dimensional advection equation. The whole family of explicit and implicit schemes working at two time-levels and having three point spatial support is considered. Some of the classical schemes (upwind, Lax-Friedrichs, Lax-Wendroff) are discussed as examples, showing the possible implications arising from the modified equation to the properties of the considered numerical methods.

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