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Numerical Methods Simulation

This repository contains MATLAB implementations of several classical numerical methods used in scientific computing and applied mathematics. The codes demonstrate numerical techniques for solving boundary value problems (BVPs), partial differential equations (PDEs), interpolation, curve fitting, and nonlinear equations.

These implementations were developed as part of coursework and numerical simulations for studying computational approaches to mathematical models.


Implemented Methods

Boundary Value Problems

  • Linear Boundary Value Problem solver
  • Nonlinear Boundary Value Problem solver

Partial Differential Equations

  • Time-based PDE simulations
  • Numerical discretization methods

Heat Equation

  • Numerical solution of the one-dimensional heat equation using finite difference methods.

Crank–Nicolson Method

  • Implementation of the Crank–Nicolson scheme for solving time-dependent PDEs with improved stability and accuracy.

Dam Break Simulation

  • Numerical s

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