An Evaluation of an Improper Integral Arises from an Analytic Solution of a Model Boltzmann Equation for Photon Transport

Authors

  • Taposh Kumar Das Department of Arts and Sciences, Ahsanullah University of Science and Technology, Dhaka-1215

DOI:

https://doi.org/10.3329/ganit.v35i0.28572

Keywords:

Boltzmann Transport equation, Support, Radiotherapy, Minimum rectangle, Scattering cross section, Compton scattering

Abstract

In this article we adopted the Mathematical model of solution of an improper integral which is created from the solution of the Boltzmann Transport equation (BTE) for photons. For the dose calculation of radiotherapy for cancer treatment, we need to solve the Boltzmann Transport equation. This improper integral is the important part of the BTE. Also the calculating time of the dose calculation is mostly dependent on the calculating time of this improper integral. For reducing the calculating time we need the minimum integrating area which is explained in this paper.

GANIT J. Bangladesh Math. Soc.Vol. 35 (2015) 87-94

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Author Biography

Taposh Kumar Das, Department of Arts and Sciences, Ahsanullah University of Science and Technology, Dhaka-1215



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Published

2016-06-28

How to Cite

Das, T. K. (2016). An Evaluation of an Improper Integral Arises from an Analytic Solution of a Model Boltzmann Equation for Photon Transport. GANIT: Journal of Bangladesh Mathematical Society, 35, 87–94. https://doi.org/10.3329/ganit.v35i0.28572

Issue

Vol. 35 (2015)

Section

Articles

License

The copyright of GANIT: Journal of Bangladesh Mathematical Society is reserved by Bangladesh Mathematical Society (web: https://bdmathsociety.org/)