Critical lengths by numerical integration of the associated Riccati equation to singularity

DOI10.1016/0096-3003(75)90031-4zbMath0334.65064OpenAlexW2033504901WikidataQ127955306 ScholiaQ127955306MaRDI QIDQ1229078

Paul jun. Nelson, W. Robert Boland

Publication date: 1975

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(75)90031-4

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Applications to the sciences (65Z05) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (7)

A theoretical result on the effectiveness of the addition formulae for two-point boundary systems ⋮ An automatic error-control technique for computation of eigenlengths ⋮ An invariant imbedding method for computation of eigenlengths of singular two-point boundary-value problems ⋮ Invariant imbedding applied to homogeneous two-point boundary-value problems with a singularity of the first kind ⋮ Boundary and initial-value methods for solving Fredholm equations with semidegenerate kernels ⋮ On the effectiveness of the inverse Riccati transformation in the matrix case ⋮ An eigenlength problem arising from a model of patch formation

Cites Work

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• An initial value method for the computation of characteristic values and functions of an integral operator
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• A proposal for the calculation of characteristic functions for certain differential and integral operators via initial-value methods
• Quasilinearization and the calculation of eigenvalues
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• An Initial-Value Theory for Fredholm Integral Equations With Semidegenerate Kernels
• Convergence of the Discrete-Ordinates Method for Anisotropically Scattering Multiplying Particles in a Subcritical Slab

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