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How to Solve Difference Equations? — A Complete Video Tutorial
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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.
After completing this tutorial, you will 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
Who this course is for:
Math Students
Computer Science Students
Engineering Students
Anyone interested in mathematics
Requirements
Basic Mathematics
Instructor: Mostapha Kalami Heris
00:00 Theory of solving difference equations
1:11 How to generate terms in a sequence using a difference equation
11:28 How to solve difference equations in MATLAB
06:43 An example of difference equation (Fibonacci Sequence)
29:45 An example of difference equation (non-homogeneous term and repeated roots)
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.
After completing this tutorial, you will 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
Who this course is for:
Math Students
Computer Science Students
Engineering Students
Anyone interested in mathematics
Requirements
Basic Mathematics
Instructor: Mostapha Kalami Heris
00:00 Theory of solving difference equations
1:11 How to generate terms in a sequence using a difference equation
11:28 How to solve difference equations in MATLAB
06:43 An example of difference equation (Fibonacci Sequence)
29:45 An example of difference equation (non-homogeneous term and repeated roots)
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