class LinearDiffEq extends Error
The LinearDiffEq class may be used for solving a system of linear differential
equations that are ordinary and first-order with constant coefficients of the form
d/dt y(t) = a * y(t)
'y(t)' is the vector function of time and 'a' is the coefficient matrix. The initial value vector 'y0 = y(0)' must also be given. Note, higher-order differential equations may be converted to first-order by introducing additional variables. The above equation is the homogeneous case. Caveats: the following cases are not currently handled: (1) The non-homogeneous equation: 'd/dt y(t) = a * y(t) + f(t)'. (2) Complex or repeated eigenvalues.
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- new LinearDiffEq(a: MatrixD, y0: VectorD)
- a
the coefficient matrix
- y0
the initial value vector
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- def eval(t: Double): VectorD
Evaluate the solution for y(t) at time t.
Evaluate the solution for y(t) at time t.
- t
the time point
- def expV(v: VectorD): VectorD
Apply the exponential 'exp' function to each element of a vector.
Apply the exponential 'exp' function to each element of a vector.
- v
the vector to apply the exp function to
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- def printSol(): Unit
Print the solution to the differential equation.
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