Question

Finding the CFL condition of second order $u_j^{n+1} =u_j^n +aH(u_{j-1}^n)+bH(u_j^n)+cH(u_{j+1}^n)$ with $u_t=H(u)_{xx}$ and $0\le H'(u)\le d$.

score 152 · Answer 1 · 2026-02-23 12:09:12

152

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Finding the CFL condition of second order $u_j^{n+1} =u_j^n +aH(u_{j-1}^n)+bH(u_j^n)+cH(u_{j+1}^n)$ with $u_t=H(u)_{xx}$ and $0\le H'(u)\le d$.

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List Question

Finding the CFL condition of second order $u_j^{n+1} =u_j^n +aH(u_{j-1}^n)+bH(u_j^n)+cH(u_{j+1}^n)$ with $u_t=H(u)_{xx}$ and $0\le H'(u)\le d$.

How to solve a system of pdes coupled in their boundary condition

Issues with Convergence of Finite Difference Method on Uniform Grid

Acoustic wave equation will be numerically unstable anyway?

First Order Central Divided Difference

What is the order of accuracy in time and space of the following finite difference scheme?

confusion between finite difference methods and finite volume methods for PDEs

fourth-order finite difference for $(a(x)u'(x))'$

Numerical solution of $2D$ wave equation using Fourier transform and finite differences

Algorithmically finding mixed-derivative coefficients using finite differences

Burgers' equation: explicit finite difference method without using the Hopf-Cole transformation

Eigenvalues for discrete second derivative with periodic boundary conditions

Reference Request: Does there exist a definition for a "total finite difference" operator?

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