Diffy Bot: Differential Equation Solver

A powerful Telegram bot designed for solving differential equations using advanced numerical methods.

Features

• Equation Solving
  Capable of solving first-order and higher-order ordinary differential equations (ODEs).
  The bot accepts user-defined equations and initial conditions, automatically parsing and preparing them for numerical analysis.

• Numerical Methods
  Implements a range of well-established numerical methods to approximate solutions with varying degrees of accuracy and computational efficiency:

  • Euler's Method;
  • Midpoint Method;
  • Heun's Method;
  • Runge-Kutta Method;
  • Dormand-Prince Method.

• Visualization
  Automatically generates clear and informative plots of the computed solutions.
  These visualizations help users interpret the behavior of differential systems over time.

• History Tracking
  Maintains a record of previously solved equations and their corresponding results, enabling users to revisit and review past computations.

• Multilingual Support
  Offers interaction in multiple languages, enhancing accessibility and usability for users from diverse linguistic backgrounds.

• Customizable Settings
  Provides a flexible interface for tailoring computational and interaction parameters to user preferences:

  • Numerical Method – Choose from a list of supported methods (e.g., Euler, Runge-Kutta, Dormand-Prince).
  • Precision Control – Set the number of decimal places to which numerical results are rounded.
  • Language Selection – Choose the interface language for all commands and responses.
  • Hints Toggle – Enable or disable contextual tips and usage hints to streamline the interface.

License

Distributed under the MIT License. See LICENSE for more information.