approximate solutions

Numerical methods vs analytical methods for differential equations in matlab

The following Matlab project contains the source code and Matlab examples used for numerical methods vs analytical methods for differential equations. Euler's method, Modified Euler's method and RK4 methods have been used to obtain approximate solutions of the differential equation dy/dx = x *sqrt(y), with y(2)=4 as the Initial condition.

Fem Matlab Code

Finite element method (FEM) is a numerical technique for finding approximate solutions to boundary value problems for differential equations. It uses variational methods (the calculus of variations) to minimize an error function and produce a stable solution. Analogous to the idea that connecting many tiny straight lines can approximate a larger circle, FEM encompasses all the methods for connecting many simple element equations over many small subdomains, named finite elements, to approximate a more complex equation over a larger domain.

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