Boundary Value Problems Courses and Certifications

NPTEL-NOC IITM

Neumann Boundary Value Problems and Mixed Boundary Conditions

Explore Neumann boundary value problems, mixed boundary conditions, and Robin boundary conditions in mathematical analysis.

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

The Julia Programming Language

Efficient Boundary Value Problems Solving in SciML

Explore advanced boundary value problem solving techniques in Julia's SciML ecosystem, featuring state-of-the-art solvers, error control adaptivity, and sparse AD integration.

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

Birla Institute Of Technology And Science–Pilani (BITS–Pilani)

Differential Equations and Applications

Solve first- and higher-order ODEs using separable, exact and undetermined-coefficient methods, Laplace transforms, Fourier series, Sturm-Liouville problems and matrix methods for linear systems.

• Coursera
• 10 weeks, 3 hours a week
• Self-Paced
• Paid Course

NPTEL-NOC IITM

Weak Solutions of Elliptic Boundary Value Problems - Part 1

Explore weak solutions for elliptic boundary value problems, focusing on the Dirichlet problem for the Laplacian. Gain insights into advanced mathematical concepts and problem-solving techniques.

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

IIT Bombay;  NPTEL

Partial Differential Equations - IITB

Study qualitative properties and solution methods for nonlinear first-order PDEs and the wave, Laplace, and heat equations.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

IMSC;  NPTEL

Sobolev Spaces and Partial Differential Equations

Develops Sobolev spaces and distribution theory for weak solutions of elliptic and evolution partial differential equations.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

Steve Brunton

Solving the Wave Equation with Separation of Variables and Guitar String Physics

Solve the wave equation by separation of variables, connecting boundary conditions, traveling waves, and guitar-string vibrations and pitch.

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

Steve Brunton

PDE 101 - Separation of Variables or How I Learned to Stop Worrying and Solve Laplace's Equation

Solve 2D Laplace’s equation for steady-state heat on a rectangular plate using separation of variables and Fourier coefficients.

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

Steve Brunton

Analytic Solution to Laplace's Equation in 2D - On Rectangle

Derive an analytic solution to the two-dimensional Laplace equation on a rectangular domain.

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

IIT Kharagpur;  NPTEL

Mathematical Methods For Boundary Value Problems

Learn analytical and numerical methods for solving linear and nonlinear boundary value problems, including PDE schemes and iterative techniques.

• Swayam
• 4 weeks
• Not Currently Offered
• Free Online Course

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