African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 231

Full Length Research Paper

Numerical solutions of the radiosity equation for a spherical quatrefoil on Mars

Yajni Warnapala
  • Yajni Warnapala
  • Department of Mathematics, Roger Williams University, Bristol, Rhode Island 02809-2921, USA.
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Hien Ngo
  • Hien Ngo
  • Department of Mathematics, Roger Williams University, Bristol, Rhode Island 02809-2921, USA.
  • Google Scholar


  •  Received: 19 July 2017
  •  Accepted: 21 September 2017
  •  Published: 31 October 2017

Abstract

The Galerkin method is used to numerically solve the exterior boundary value problem for the radiosity equation for the spherical quatrefoil. The radiosity equation is a mathematical model for the brightness of a collection of one or more surfaces when their reflectivity and emissivity are given. On planet Mars the surface emissivity is closely related to its surface temperature. The radiosity of a surface is the rate at which the energy leaves that surface; it includes the energy emitted by a surface as well as the energy reflected from other surfaces.

Key words: Radiosity equation, Galerkin method, spherical quatrefoil.