Finite Difference Method Courses and Certifications

IIT Roorkee;  NPTEL

Numerical Methods: Finite difference approach

This course is an advanced course offered to UG/PG student of Engineering/Science background.

• Swayam
• 4 weeks
• Self-Paced
• Free Online Course

NPTEL;  IIT Kharagpur

Computational Fluid Dynamics

1 rating

Comprehensive exploration of computational fluid dynamics, covering mathematical foundations, discretization methods, and numerical techniques for solving fluid flow problems.

• YouTube
• 1 day 7 hours
• Self-Paced
• Free Video

Matrix Calculus for Machine Learning and Beyond - IAP 2023

Master matrix calculus for machine learning with MIT's comprehensive approach to derivatives in higher dimensions, optimization, and automatic differentiation techniques.

• YouTube
• 13 hours 55 minutes
• Self-Paced
• Free Video

eHowEducation

Physics and Calculus Lessons - Comprehensive Tutorial Collection

Explore diverse physics and calculus concepts through practical problem-solving, from differential equations to gyroscopic theory and statistical analysis methods.

• YouTube
• 1 hour 52 minutes
• Self-Paced
• Free Video

NPTEL;  IIT Roorkee

Computational Fluid Dynamics

This course looks at all the aspects theoretical, numerical, and application aspects of computational fluid dynamics. Computational fluid dynamics (CFD) has become an essential tool in the analysis and design of thermal and fluid flow systems in a wide r…

• YouTube
• 1 day 13 hours
• Self-Paced
• Free Video

NPTEL;  IIT Madras

Foundation of Computational Fluid Dynamics

Comprehensive exploration of computational fluid dynamics fundamentals, covering essential concepts and techniques over 8 weeks through structured modules and practical applications.

• YouTube
• 18 hours
• Self-Paced
• Free Video

Let's Code Physics

Wave Function Evolver - Implementing the Schrodinger Equation - Episode 1

Explore quantum mechanics through coding the Schrödinger Equation using finite difference methods. Implement and visualize wave function evolution in VPython.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

For the Love of Physics

Numerically Solving the Schrodinger Equation in Scilab - Harmonic Oscillator and Infinite Square Well

Learn to numerically solve the Schrödinger equation using Scilab, covering finite difference methods and applications to harmonic oscillator and infinite square well potentials.

• YouTube
• 43 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Numerical Methods for Partial Differential Equations (2022)

Master advanced computational techniques for solving partial differential equations through rigorous mathematical analysis and practical implementation methods.

• YouTube
• 1 day 4 hours 26 minutes
• Self-Paced
• Free Video

NPTEL;  IIT Guwahati

Computational Fluid Dynamics for Incompressible Flows

Explore incompressible flow dynamics through finite difference and volume methods. Master equations, boundary conditions, and numerical techniques for solving fluid dynamics problems.

• YouTube
• 1 day 5 hours
• Self-Paced
• Free Video

Let's Code Physics

Potential from Boundary Conditions - Computational Electromagnetism

Learn to solve Poisson's equation using finite differences, applying computational techniques to find electric potentials from boundary conditions in electromagnetism problems.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

Steve Brunton

Deriving Forward Euler and Backward-Implicit Euler Integration Schemes for Differential Equations

Explore Forward and Backward Euler integration methods for ODEs, including derivations, error sources, and stability analysis. Gain insights into numerical integration techniques for solving differential equations.

• YouTube
• 23 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

Method of Lines for Hyperbolic PDEs

Explore the Method of Lines technique for solving hyperbolic partial differential equations, enhancing your understanding of numerical methods in applied mathematics.

• YouTube
• 28 minutes
• Self-Paced
• Free Video

Dot Physics

Quantum Tunneling: Modeling with NumPy and Python

Model quantum tunneling using Numpy and finite difference method. Learn theory, create potential, wave functions, and Hamiltonian matrices. Visualize results with Python animations.

• YouTube
• 39 minutes
• Self-Paced
• Free Video

Dot Physics

Modeling a Wave on a String - Finite Difference in Python

Model a wave on a string using finite difference calculations and Web VPython. Learn Python coding techniques for physics simulations and data visualization.

• YouTube
• 32 minutes
• Self-Paced
• Free Video