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First order differential equations: Euler's method
Finally, we consider ?nding the numerical solution for a ?rst order differential equation given an initial value. We consider the Euler's method, which is the most basic procedure for ?nding the approximate solution of an initial value problem stated as:
dy/dx = f(x, y),
given the initial value
y(x0) = y0
where x0 and y0 are given parameters (numbers). The derivation of the Euler can be geometrical (by looking at the tangent) or by considering Taylor expansions and taking only ?rst order terms or alternatively by considering the basic de?nition of derivative in terms of limit theorem.
Let us consider the geometric form of the derivation for the Euler's method.
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i need matlab code on 2 dimensional analysis of temperature distribution in steel using finite element method
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Create a text file with simulated data. Calculate an experimental y using the first function and some reasonable values for the parameters Add noise Save the x values and ca
Analytical solution
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Complete assignment as per attached word doc. Include function files along with Matlab assignment file.
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