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Finite difference approximation of $u''(x)+u(x)=0, u(0)=1, u(\pi)=-1$

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#numerical-methods #finite-differences #finite-difference-methods
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write second order difference as a convolution operator

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#finite-differences #finite-difference-methods
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Mixed derivative finite difference

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#numerical-methods #partial-derivative #finite-differences #finite-difference-methods
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Central Differences to Solve Boundary-Value Problem (General Case)

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#boundary-value-problem #finite-difference-methods
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Help deriving Lax-Wendroff scheme for advection equation $u_t+c(x)u_x = 0$

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#partial-differential-equations #numerical-methods #hyperbolic-equations #finite-difference-methods
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Lax-Wendroff method for linear advection - Matlab code

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#partial-differential-equations #numerical-methods #matlab #hyperbolic-equations #finite-difference-methods
34
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information regarding numerics of pde

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#partial-differential-equations #computational-mathematics #simulation #finite-difference-methods #finite-volume-method
71
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Need help with inequality to understand stability analysis

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#algebra-precalculus #inequality #partial-differential-equations #finite-difference-methods
950
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Advection equation with discontinuous initial condition

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#partial-differential-equations #numerical-methods #hyperbolic-equations #finite-difference-methods
463
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Finite difference method, boundaries

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#numerical-methods #boundary-value-problem #finite-difference-methods
70
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Finite Difference Equation From a Non-Linear Equation

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#definite-integrals #mathematical-modeling #finite-differences #nonlinear-dynamics #finite-difference-methods
119
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Leap Frog/Multi step method stability

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#numerical-methods #finite-differences #stability-theory #finite-difference-methods
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Local truncation error of Crank-Nicolson for PDE $u_t+au_x = 0$

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#partial-differential-equations #hyperbolic-equations #finite-difference-methods #truncation-error
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Crank-Nicolson for coupled PDE's

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65
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Approximating finite differences by higher order derivatives of continuous functions

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#real-analysis #ordinary-differential-equations #derivatives #finite-differences #finite-difference-methods

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