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heat-equation's Introduction

Various schemes for the solution of the heat equation.

We pose one-dimensional problem solving the heat equation in the nodes of the mesh. ([Wikipedia])

Input:

  • Value of parameter a
  • X left
  • X right
  • T left
  • T right
  • F - right part of equation
  • Initial condition fot t = 0
  • Boundary condition for x = 0
  • Boundary condition for x = 1
  • h - space step
  • tau - time step

Output:

-Expression for Wolfram Mathematica to plot of exact solution and approximate [Wikipedia]:https://en.wikipedia.org/wiki/Heat_equation

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