Mathematics – Numerical Analysis
Scientific paper
2011-04-11
Mathematics
Numerical Analysis
27 pages, 11 tables, 9 figures
Scientific paper
Based on the functional-discrete technique (FD-method), an algorithm for eigenvalue transmission problems with discontinuous flux and integrable potential is developed. The case of the potential as a function belonging to the functional space $L_1$ is studied for both linear and nonlinear eigenvalue problems. The sufficient conditions providing superexponential convergence rate of the method were obtained. Numerical examples are presented to support the theory. Based on the numerical examples and the convergence results, conclusion about analytical properties of eigensolutions for nonself-adjoint differential operators is made.
Dragunov Denis
Makarov Volodymyr
Rossokhata Nataliya
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