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NUMERICAL SOLUTIONS OF ONE DIMENSIONAL WAVE EQUATIONS USING THE CRANK-NICOLSON METHOD |

This project explains the Crank–Nicolson finite difference method for solving hyperbolic partial differential equations numerically, as well as its numerical properties and application to the one-dimensional wave equation. The method's consistency and stability were examined, and the method was determined to be convergent. When compared to the analytical solution, numerical solutions of various wave equations were provided using the MATLAB tool, and the results performed brilliantly.

 

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