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Computing derivative as accurately as possible by finite difference formula

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#numerical-methods #finite-differences #extrapolation
60
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Stability of semidiscretized scheme

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#partial-differential-equations #numerical-methods #finite-differences
379
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Error term for backward differentiation formula

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#numerical-methods #finite-differences #extrapolation #finite-difference-methods
286
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How to determine stability of nonlinear diffusion equation using explicit finite difference scheme?

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#partial-differential-equations #numerical-methods #heat-equation #finite-differences
124
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How to determine the minimum number of grid points for successful FDM solution?

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#numerical-methods #finite-differences #python #finite-difference-methods
56
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Is my interpretation of this proof of a maximum principle for the discrete heat equation correct?

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#partial-differential-equations #solution-verification #heat-equation #finite-differences #maximum-principle
73
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Finite-difference method: Hints on how to solve this system of 1D differential equations?

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#ordinary-differential-equations #numerical-methods #physics #finite-differences #finite-difference-methods
435
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Implicit finite difference scheme for parabolic PDE

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#partial-differential-equations #numerical-methods #algorithms #approximation #finite-differences
1.9k
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Is there a simpler way to prove that the nth difference of a degree n polynomial equals n!*(the leading coefficient)?

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#polynomials #finite-differences
80
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Solving the difference equation $(y_{n+1} - 2 y_{n} + y_{n-1}) - \frac{1}{2} h (y_{n+1} - y_{n-1}) - 2 h^2 y_{n} = 0$

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#ordinary-differential-equations #recurrence-relations #finite-differences
9.2k
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Finite differences second derivative as successive application of the first derivative

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#derivatives #numerical-methods #finite-differences #numerical-calculus #finite-difference-methods
220
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Is there a name for a biharmonic equation with an extra set of squared mixed partials?

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#partial-differential-equations #numerical-methods #terminology #finite-differences
43
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Bounding the roots of a complex polynomial of arbitrary degree

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#complex-analysis #polynomials #roots #finite-differences #rouches-theorem
3.1k
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When does using "ghost points" in a finite difference scheme give lower error than left- or right-sided finite difference formulas?

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#numerical-methods #finite-differences
800
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Question on the solution to obtaining the truncation error for the Crank-Nicolson finite-difference scheme

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#partial-differential-equations #numerical-methods #finite-differences

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