Abstract

In this paper we present a novel class of nonlinear problems arising in low Reynolds number hydrodynamics, in which the analytical solution of the linearized equation yields an approximation to the numerical solution of the full nonlinear equation, when it is scaled and reduced suitably using the standard deviation and the mean of the numerical solution. The main interest in discussing these problems is that the analytical solution itself is sufficient to generate the numerical solution, when suitably scaled and reduced. Hence this system may be used as a test for software developed to solve complex integro – differential equations.

Keywords

References

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