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README.md

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@@ -32,6 +32,11 @@ Pseudospectral collocation requires the following steps
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An optimization problem without an objective function and inequality constraints is simply a system of equation which may be linear or nonlinear.
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Using the principle, we use IPOPT to solve the system of nonlinear equations. CasADi's ```Opti()``` (meant as modelling language for optimization problems) is used to model the equations.
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The codes serve the following purposes.
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* ```bvp_main.m``` - solve the BVP for a given grid size and compare with analytical solution
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* ```bvp.m, convergence.m``` - study exponential/spectral convergence of discretization error
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* ```legslb.m, legslbdiff.m, lepoly.m, lepolym.m``` - supplementary files for LGL collocation
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## Requirements
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* OCTAVE-6.1.0

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