Abstract
We find the approximate solution for hyperbolic equation in one space dimension using two finite different schemes: Lax- Wendroff and upwind schemes Then, we study Fourier analysis of these two schemes. we also approximate the numerical solution of system of hyperbolic equations by using finite volume scheme and leap-frog schemes. As well, we study the Fourier analysis of these two schemes. Finally, we study the consistency, convergence and stability for hyperbolic equation in one space dimension and we state and prove the main part of the key lax Equivalence theorem.
Mohamed, R (2021). Numerical Schemes For Hyperbolic Equation In One Space Dimension. Afribary. Retrieved from https://track.afribary.com/works/numerical-schemes-for-hyperbolic-equation-in-one-space-dimension
Mohamed, Rayan "Numerical Schemes For Hyperbolic Equation In One Space Dimension" Afribary. Afribary, 21 May. 2021, https://track.afribary.com/works/numerical-schemes-for-hyperbolic-equation-in-one-space-dimension. Accessed 25 Sep. 2024.
Mohamed, Rayan . "Numerical Schemes For Hyperbolic Equation In One Space Dimension". Afribary, Afribary, 21 May. 2021. Web. 25 Sep. 2024. < https://track.afribary.com/works/numerical-schemes-for-hyperbolic-equation-in-one-space-dimension >.
Mohamed, Rayan . "Numerical Schemes For Hyperbolic Equation In One Space Dimension" Afribary (2021). Accessed September 25, 2024. https://track.afribary.com/works/numerical-schemes-for-hyperbolic-equation-in-one-space-dimension