About: FTCS scheme

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In numerical analysis, the FTCS (Forward Time Centered Space) method is a finite difference method used for numerically solving the heat equation and similar parabolic partial differential equations. It is a first-order method in time, explicit in time, and is conditionally stable when applied to the heat equation. When used as a method for advection equations, or more generally hyperbolic partial differential equations, it is unstable unless artificial viscosity is included. The abbreviation FTCS was first used by Patrick Roache.

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  • In numerical analysis, the FTCS (Forward Time Centered Space) method is a finite difference method used for numerically solving the heat equation and similar parabolic partial differential equations. It is a first-order method in time, explicit in time, and is conditionally stable when applied to the heat equation. When used as a method for advection equations, or more generally hyperbolic partial differential equations, it is unstable unless artificial viscosity is included. The abbreviation FTCS was first used by Patrick Roache. (en)
  • Na análise numérica, o método FTCS(Forward-Time Central-Space) que em português significa progressivo no tempo centrado no espaço, é um método das diferenças finitas usado para resolver numericamente a equação do calor e equações parabólicas em derivadas parciais similares. É um método de primeira ordem no tempo, explícito no tempo e é condicionalmente estável. (pt)
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  • In numerical analysis, the FTCS (Forward Time Centered Space) method is a finite difference method used for numerically solving the heat equation and similar parabolic partial differential equations. It is a first-order method in time, explicit in time, and is conditionally stable when applied to the heat equation. When used as a method for advection equations, or more generally hyperbolic partial differential equations, it is unstable unless artificial viscosity is included. The abbreviation FTCS was first used by Patrick Roache. (en)
  • Na análise numérica, o método FTCS(Forward-Time Central-Space) que em português significa progressivo no tempo centrado no espaço, é um método das diferenças finitas usado para resolver numericamente a equação do calor e equações parabólicas em derivadas parciais similares. É um método de primeira ordem no tempo, explícito no tempo e é condicionalmente estável. (pt)
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  • FTCS scheme (en)
  • Esquema FTCS (pt)
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