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Solution of an Integro-Differential Equation by Double Interval Spherical Harmonic Method

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Recent Trends in Wave Mechanics and Vibrations

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

The equation of Radiative Transfer for coherent scattering atmosphere was developed by Woolley and Stibbs. The equation of Radiative Transfer for coherent scattering which is an integro-differential equation has been solved by various methods. The Double Interval Spherical Harmonic Method introduced effectively by Wilson and Sen has already been used by Ghosh and Karanjai to solve the equation of Radiative Transfer in coherent isotropic scattering atmosphere as well as coherent anisotropic scattering atmosphere with Pommraning phase function. The Double Interval Spherical Harmonic Method has been successfully used in this paper to solve the equation of Radiative Transfer for coherent anisotropic scattering atmosphere with planetary phase function.

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References

  1. Eddington AS (1926) Internal constitution of stars. Cambridge, England

    Google Scholar 

  2. Ghosh M, Karanjai S (2007) Solution of the equation of transfer for coherent anisotropic scattering by double interval spherical harmonic method. J Quant Spectrosc Radiat Transf 98:277–289. https://doi.org/10.1016/j.jqsrt.2005.05.091

    Article  Google Scholar 

  3. Gratton L (1937). Soc Astron Italy 10:309

    Google Scholar 

  4. Kourganoff V (1952) Basic methods in transfer problems. Dover publication, New York

    Google Scholar 

  5. Raychaudhuri A, Karanjai S (1997). Res Bull Panjab Univ 47:219

    Google Scholar 

  6. Raychaudhuri A, Karanjai S (1998). Int J Theor Phys 46(4):303

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  7. Wilson SJ, Sen KK (1963). Publ Astro Soc Japan 15(4):351–367

    Google Scholar 

  8. Wilson SJ, Sen KK (1964) Ann D’Astrophysique 27(1):46–52

    Google Scholar 

  9. Woolley RvdR, Stibbs DWN (1953) The outer layers of a star. Oxford University Press

    Google Scholar 

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Author information

Authors and Affiliations

  1. Dinhata College, Coochbehar, 736135, West Bengal, India

    Mrityunjoy Ghosh

Authors
  1. Mrityunjoy Ghosh
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Correspondence to Mrityunjoy Ghosh .

Editor information

Editors and Affiliations

  1. Department of Mathematics, National Institute of Technology Rourkela, Rourkela, Odisha, India

    S. Chakraverty

  2. Vibration Research Group, Von karman society, Jalpaiguri, India

    Paritosh Biswas

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Ghosh, M. (2020). Solution of an Integro-Differential Equation by Double Interval Spherical Harmonic Method. In: Chakraverty, S., Biswas, P. (eds) Recent Trends in Wave Mechanics and Vibrations. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-0287-3_31

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  • DOI: https://doi.org/10.1007/978-981-15-0287-3_31

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-0286-6

  • Online ISBN: 978-981-15-0287-3

  • eBook Packages: EngineeringEngineering (R0)

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