Finite Difference Methods: Theory, Application, and Python Programming

Finite Difference Methods: Theory, Application, and Python Programming

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Mechanical Engineering

$ 29

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Why enroll

People enroll in a Finite Difference Methods course to learn how to numerically solve differential equations that model real-world physical systems. The course provides a solid foundation in both the theory and practical implementation of these methods, helping students develop the skills to analyze and program solutions for problems in engineering, physics, and applied mathematics. It is especially valuable for those interested in computational modeling, simulations, and scientific computing across various industries and research fields.

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Course details

Finite Difference Methods (FDM) are a foundational numerical technique used to approximate solutions to differential equations by replacing derivatives with difference equations. Rooted in solid mathematical theory, FDM is widely applied in solving problems involving heat transfer, fluid flow, and wave propagation. The method involves discretizing the problem domain into a grid and applying finite difference formulas to approximate derivatives at each grid point. This course or topic typically covers both the theoretical underpinnings—such as accuracy, consistency, and convergence—as well as practical implementation through programming, often using languages like Python, MATLAB, or C++. Learning FDM enables students to build and analyze efficient solvers for a variety of scientific and engineering problems.

Course suitable for

Automotive
Aerospace
Mechanical

Key topics covered

- Introduction to FDM

- Taylor Series Approximation

- Discretization scheme in FDM

- Order of accuracy of discretization scheme

- Time Marching Explicit scheme

- Time Marching Semi-Implicit scheme

- 1D steady heat diffusion solution using FDM Python coding

- 2D steady heat conduction solution using FDM Python coding

- 2D unsteady heat conduction solution using Python coding

Course content

The course is readily available, allowing learners to start and complete it at their own pace.

Finite Difference Methods: Theory, Application, and Programming

2 Lectures

120 min

Lecture 01
60 min
Lecture 02
60 min

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Mechanical Engineering