Exact solution of a basic equation in finite atmosphere by the method of Laplace transform and linear singular operators

DOI10.1007/BF00646904zbMath0435.45011MaRDI QIDQ1140265

Rabindra Nath Das

Publication date: 1980

Published in: Astrophysics and Space Science (Search for Journal in Brave)

zbMATH Keywords

exact solutionlinear singular integral equationsmethod of Laplace transformfinite atmospherePlemelj's formulae

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Laplace transform (44A10) Planetary atmospheres (85A20) Radiative transfer in astronomy and astrophysics (85A25) Integral equations with kernels of Cauchy type (45E05)

Related Items (2)

A new method for exact solution of transfer equations in finite media ⋮ Solution of Riemann-Hilbert problems for determination of new decoupled expressions of Chandrasekhar's \(X\)- and \(Y\)-functions for slab geometry in radiative transfer

Cites Work

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• Elementary solutions of the transport equation and their applications
• Exact solution of a key equation in a finite stellar atmosphere by the method of Laplace transform and linear singular operators
• Exact solution of a key equation in a finite planetary atmosphere by the method of Laplace transform and linear singular operators
• Exact solution of a simple time-dependent integro-differential equation by the method of Laplace transform and the theory of linear singular operators
• Application of the Wiener-Hopf technique for a new representation of X- and Y-equations
• Exact solution of the problem of diffuse reflection and transmission by the method of Laplace transform and linear singular operators

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