A New Semidiscretized Order Reduction Finite Difference Scheme for Uniform Approximation of One-Dimensional Wave Equation

2020 ◽  
Vol 58 (4) ◽  
pp. 2256-2287
Author(s):  
Jiankang Liu ◽  
Bao-Zhu Guo
Keyword(s):  
Wave Equation ◽  
Finite Difference ◽  
Difference Scheme ◽  
Uniform Approximation ◽  
Finite Difference Scheme ◽  
Order Reduction ◽  
One Dimensional ◽  
Dimensional Wave

scholarly journals Convergence of a finite difference scheme for von Foerster equation with functional dependence

2012 ◽  
Vol 45 (3) ◽  
Author(s):  
Piotr Zwierkowski
Keyword(s):  
Finite Difference ◽  
Difference Scheme ◽  
Finite Difference Scheme ◽  
Functional Dependence ◽  
Spatial Variable ◽  
One Dimensional ◽  
Numerical Example

AbstractWe analyse a finite difference scheme for von Foerster–McKendrick type equations with functional dependence forward in time and backward with respect to one dimensional spatial variable. Some properties of solutions of a scheme are given. Convergence of a finite difference scheme is proved. The presented theory is illustrated by a numerical example.

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