Some direct numerical approaches to the solution of the singular nonlinear transonic integral equation

Sachdev, PL and Lobo, M (1981) Some direct numerical approaches to the solution of the singular nonlinear transonic integral equation. In: Proceedings Of The Royal Society Of London Series A-Mathematical Physical And Engineering Sciences, 374 (1756). pp. 35-64.

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Abstract

The nonlinear singular integral equation of transonic flow is examined, noting that standard numerical techniques are not applicable in solving it. The difficulties in approximating the integral term in this expression were solved by special methods mitigating the inaccuracies caused by standard approximations. It was shown how the infinite domain of integration can be reduced to a finite one; numerical results were plotted demonstrating that the methods proposed here improve accuracy and computational economy.

Item Type:	Journal Article
Publication:	Proceedings Of The Royal Society Of London Series A-Mathematical Physical And Engineering Sciences
Publisher:	Royal Society of London
Additional Information:	Copyright of this article belongs to Royal Society London.
Keywords:	Numerical Integration, Singular Integral Equations, Transonic Flow, Error Analysis, Flow Equations, Mach Number, Run Time (Computers) Computational Fluid Dynamics, Nonlinear Equations,
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	22 Jan 2010 08:59
Last Modified:	19 Sep 2010 05:42
URI:	http://eprints.iisc.ac.in/id/eprint/22606

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