Determining Initial Values for Stiff Systems of Ordinary Differential Equations
Copyright policy )Determining Initial Values for Stiff Systems of Ordinary Differential Equations
We consider a stiff system of nonlinear ordinary differential equations for which we know some but not all of the initial conditions. This paper presents an algorithm which determines the unknown initial values in such a way that the solution does not have an initial transient. The algorithm was motivated by a problem from tonospheric physics in which two of the initial conditions are unknown. By physical considerations, the correct solution should not have an initial transient. This requirement allows us to uniquely specify the two unknown initial values.
stiff system, Geophysics, ionospheric physics, Inverse problems involving ordinary differential equations, unknown initial values, Numerical methods for initial value problems involving ordinary differential equations
stiff system, Geophysics, ionospheric physics, Inverse problems involving ordinary differential equations, unknown initial values, Numerical methods for initial value problems involving ordinary differential equations
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