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Solving a System of Partial Differential equations The response of nerves to impulses may be modelled by a complex system of partial differential equations. Given certain values of constants the problem becomes stiff. To solve this specific problem of 30 ODEs, using a centered finite difference formula for the second derivitive, RK4 and Backward Euler are implemented and compared. The output plot to the solved ODE can be seen to drop 'catastrophically' for a sudden small change since it is modelled by a Zeeman Cusp Catastrophe Model.
End of Project ... Thank You ... Please Come Again!
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