A Mechanism for Spurious Solutions of Nonlinear Boundary Value Problems
Typically numerical approximation schemes for many nonlinear boundary value problems generate spurious solutions. By developing a dynamical system approach a mechanism is presented which is able to explain a certain class of such solutions. In essence the spurious solutions here are a consequence of structural changes such as bifurcations in the homoclinic structure of the associated dynamical system.
KeywordsNonlinear Boundary Homoclinic Bifurcation Homoclinic Point Spurious Solution Symmetric Periodic Solution
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