- Introduction
- Solving a General Second-Order Difference Equation
- The Fibonacci Series as a Difference Equation
- More on Fibonacci Series and Golden Ratio
- General Form of the Solution for a Difference Equation
- Repeated Roots in Characteristic Equation
- How to Solve Non-Homogeneous Difference Equations
- Non-Homogeneous Difference Equations with Repeated Roots
What you'll learn
- General form of ordinary linear difference equations
- How to solve homogeneous linear difference equations
- How to solve non-homogeneous linear difference equations
- Solving difference equations with repeated roots in characteristic equation
Description
Difference Equations , aka. Recurrence Relations, are very similar to differential equations, but unlikely, they are defined in discrete domains (e.g. discrete time or space). In this video tutorial, the general form of linear difference equations and recurrence relations is discussed and solution approach, using eigenfunctions and eigenvalues is represented. Some examples, including Fibonacci Series, are investigated in the video tutorial, as well. The case of multiple (non-distinct) roots of characteristic equation is also considered. Finally, the non-homogeneous difference equations are discussed, by providing the concept of general and particular solutions.
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About the instructors
- 4.55 Calificación
- 70676 Estudiantes
- 9 Cursos
Yarpiz Team
Academic Education and Research Group
The Yarpiz project is aimed to be a resource of academic and professional scientific source codes and tutorials, specially Computational Intelligence, Machine Learning, and Evolutionary Computation. Beside video tutorials, various source codes are available to download, via Yarpiz website.
The word Yarpiz (pronounced /jɑrpəz/) is an Azeri Turkish word, meaning Pennyroyal or Mentha Pulegium plant.