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Subjects
Mathematics
Differential Equations
Boundary Value Problems

Free Online

Boundary Value Problems Courses and Certifications

Master differential equations and PDE solutions through shooting methods, finite element analysis, and Green's functions. Learn practical techniques for solving Neumann, Dirichlet, and mixed boundary conditions via free tutorials on YouTube and Swayam from leading mathematics institutions.

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NPTEL-NOC IITM
Introduction to Green's Function - 3D Example

Explore Green's Function in 3D with a comprehensive introduction, focusing on practical examples and applications.
- YouTube
- 22 minutes
- Self-Paced
- Free Video
NPTEL-NOC IITM
Introduction to Green's Function - A One-Dimensional Example

Explore Green's Function through a one-dimensional example, gaining insights into this mathematical concept and its applications in physics and engineering.
- YouTube
- 20 minutes
- Self-Paced
- Free Video
NPTEL-NOC IITM
2D Finite Element Method - Radiation Boundary Condition

Explore radiation boundary conditions in 2D finite element methods. Learn key concepts and applications for advanced numerical analysis in electromagnetic simulations.
- YouTube
- 23 minutes
- Self-Paced
- Free Video
NPTEL-NOC IITM
Introduction to Green's Function: 2-D Wave Example - Finding Solution

Explore Green's Function for 2-D wave solutions, focusing on practical applications and problem-solving techniques in mathematical physics.
- YouTube
- 20 minutes
- Self-Paced
- Free Video
NPTEL-NOC IITM
Review of Governing Equations: Classification of PDEs

Explore the classification of PDEs based on physical behavior and nature, gaining insights into problem categorization and governing equations.
- YouTube
- 51 minutes
- Self-Paced
- Free Video
NPTEL-NOC IITM
The Laplace Equation: Dirichlet and Neumann Boundary Conditions - Lecture 67

Explore Dirichlet and Neumann boundary conditions for the Laplace Equation, enhancing understanding of partial differential equations and their applications.
- YouTube
- 29 minutes
- Self-Paced
- Free Video
NPTEL-NOC IITM
ODE-BVP: Shooting Method - Lecture 1

Learn to solve boundary value problems for ODEs using the shooting method, a powerful numerical technique for finding solutions.
- YouTube
- 16 minutes
- Self-Paced
- Free Video
NPTEL-NOC IITM
Introduction to Green's Function: 2-D Example - Evaluating Constants - Part 1

Explore Green's Function in 2D, focusing on evaluating constants. Learn key concepts and techniques for solving complex mathematical problems.
- YouTube
- 17 minutes
- Self-Paced
- Free Video
NPTEL-NOC IITM
Introduction to Green's Function: Motivations for Green's Functions

Explore Green's functions and their motivations in mathematical physics, gaining insights into solving differential equations and boundary value problems.
- YouTube
- 17 minutes
- Self-Paced
- Free Video
NPTEL-NOC IITM
Introduction to Green's Function: 2-D Example - Evaluating Constants - Part 2

Explore advanced concepts in Green's Function for 2D problems, focusing on evaluating constants in the second part of this mathematical analysis.
- YouTube
- 11 minutes
- Self-Paced
- Free Video
NPTEL-NOC IITM
Introduction to Green's Function: 1-D Example - Alternate Representation

Explore alternate representations of Green's Function in 1-D, focusing on practical applications and problem-solving techniques in mathematical physics.
- YouTube
- 15 minutes
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- Free Video
Dot Physics
Solving a Boundary Value Problem with the Finite Difference Method - Python

Implement finite difference method in Python to solve boundary value problems for differential equations. Learn practical numerical techniques.
- YouTube
- 22 minutes
- Self-Paced
- Free Video
Dot Physics
Solving a Boundary Value Problem with the Shooting Method and Python

Learn to solve boundary value problems using the shooting method and Python, with Euler method implementation and animated graph visualization.
- YouTube
- 19 minutes
- Self-Paced
- Free Video
Institute for Advanced Study
Energy Dissipation of Navier-Stokes Equation with Non-Characteristic Boundary

Explore energy dissipation in Navier-Stokes equations with non-characteristic boundaries, presented by Jincheng Yang from the Institute for Advanced Study.
- YouTube
- 18 minutes
- Self-Paced
- Free Video
Centre International de Rencontres Mathématiques
Harmonic Measure with Robin Boundary Conditions

Explore harmonic measure with Robin boundary conditions in this mathematical analysis talk by Guy David at CIRM's thematic meeting on fractals and networks.
- YouTube
- 39 minutes
- Self-Paced
- Free Video

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