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Project for Numerical Methods course at Shirak State University

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L-Kh-Hovhannisyan/Scientific-Computing

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Numerical-Methods

Improved Euler - Cauchy method (with iterative processing) with refinement according to Runge rules for the Cauchy problem of 1st order ordinary differential equations.

Given 1st order ODE:

equation

  • Example

equation

  • Cauchy problem:

equation

  • x ∈ [0,1];

  • h = 0.1;

  • Analytical solution:

equation

A PDF version of the solution can be found: here.

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