finite-difference equation

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• Finite difference method — In mathematics, finite difference methods are numerical methods for approximating the solutions to differential equations using finite difference equations to approximate derivatives. Intuitive derivation Finite difference methods approximate the …   Wikipedia

• Finite-difference time-domain method — Finite difference time domain (FDTD) is a popular computational electrodynamics modeling technique. It is considered easy to understand and easy to implement in software. Since it is a time domain method, solutions can cover a wide frequency… …   Wikipedia

• difference equation — Equation involving differences between successive values of a function of a discrete variable (i.e., one defined for a sequence of values that differ by the same amount, usually 1). A function of such a variable is a rule for assigning values in… …   Universalium

• Finite difference — A finite difference is a mathematical expression of the form f(x + b) − f(x + a). If a finite difference is divided by b − a, one gets a difference quotient. The approximation of derivatives by finite differences… …   Wikipedia

• Finite-difference frequency-domain — The finite difference frequency domain (FDFD) is a numerical solution for problems usually in electromagnetism. The method is, of course, based on finite difference approximations of the derivative operators in the differential equation being… …   Wikipedia

• Nonstandard finite difference scheme — Nonstandard finite difference schemes is a general set of methods in numerical analysis that gives numerical solutions to differential equations by constructing a discrete model. The general rules for such schemes are not precisely known.[1] [2]… …   Wikipedia

• Finite element method — The finite element method (FEM) (sometimes referred to as finite element analysis) is a numerical technique for finding approximate solutions of partial differential equations (PDE) as well as of integral equations. The solution approach is based …   Wikipedia

• Finite volume method — The finite volume method is a method for representing and evaluating partial differential equations as algebraic equations. Similar to the finite difference method, values are calculated at discrete places on a meshed geometry. Finite volume… …   Wikipedia

• Difference operator — In mathematics, a difference operator maps a function, f ( x ), to another function, f ( x + a ) − f ( x + b ).The forward difference operator :Delta f(x)=f(x+1) f(x),occurs frequently in the calculus of finite differences, where it plays a role… …   Wikipedia

• Différence finie — En mathématique, une différence finie est une expression de la forme f(x + b) − f(x + a). (où f est une fonction numérique) ; la même expression divisée par b − a s appelle un taux d accroissement (ou taux de… …   Wikipédia en Français

• Finite impulse response — A finite impulse response (FIR) filter is a type of a digital filter. The impulse response, the filter s response to a Kronecker delta input, is finite because it settles to zero in a finite number of sample intervals. This is in contrast to… …   Wikipedia