Numerical Analysis
68 learners taking this course
Course Objective
- Learn the basics of Numerical Analysis
- Learn to resolve Initial value equations
Lessons
Error analysis
Free PreviewError always plays a major role when you’re dealing with approximations. The numerical analysis provides approximations but accurate results, but these results are not 100% accurate and you don’t need…
Interpolation
Free PreviewAn easier way to imagine this is by considering a case where you know the value of output at different input values. Now you wish to find out the value…
Approximation and Interpolation
Free PreviewTake a simple equation Sin(x)-0.5=0. Now, In the range (0-pi) find out at 5 equally spaced points. Using these 5 points generate a polynomial of order 4 using interpolation. Now…
Numerical Differentiation and Integration
First, let’s set apart the differences. Numerical integration is just a set of methods or algorithms to find the value of definite integrals. By no means is it possible to…
Nonlinear Equations
A simple equation such as x^2+5x+6=0 can be easily solved but an equation (e^x-1)/x+10*e^x=sinx may not be solved analytically. We, therefore, need to use numerical techniques to find the solution.…
Initial Value Problems for ODEs: One-Step Methods
When it comes to the application of science in physics in real life we are often left to deal with differential equations. It may be possible that the solution to…
Initial Value Problems for ODEs: Multistep Methods
The problem with the one-step method is that it only considers one previous point when calculating the next step. The process continues to reach the solution but a multistep method…
System of linear equations
A system of the linear equation has a unique solution if the number of variables is equal to the number of unique equations. You must be wondering why we need…