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New Computational Mathematics Study Findings Recently Were Reported by Researchers at University of Delhi

June 3, 2014



By a News Reporter-Staff News Editor at Journal of Mathematics -- Investigators discuss new findings in Computational Mathematics. According to news reporting originating in New Delhi, India, by VerticalNews journalists, research stated, "In this paper, we propose a new high accuracy numerical method of O(k(2) + k(2)h(2) + h(4)) for the solution of three dimensional quasi-linear hyperbolic partial differential equations, where k> 0 and h> 0 are mesh sizes in time and space directions respectively. We mainly discretize the space derivative terms using fourth order approximation and time derivative term using second order approximation."

The news reporters obtained a quote from the research from the University of Delhi, "We describe the derivation procedure in details and also discuss how our formulation is able to handle the wave equation in polar coordinates. The proposed method when applied to a linear hyperbolic equation is also shown to be unconditionally stable. The proposed method behaves like a fourth order method for a fixed value of (k/h(2))."

According to the news reporters, the research concluded: "Some examples and their numerical results are provided to justify the usefulness of the proposed method."

For more information on this research see: A new high order space derivative discretization for 3D quasi-linear hyperbolic partial differential equations. Applied Mathematics and Computation, 2014;232():529-541. Applied Mathematics and Computation can be contacted at: Elsevier Science Inc, 360 Park Ave South, New York, NY 10010-1710, USA. (Elsevier - www.elsevier.com; Applied Mathematics and Computation - www.elsevier.com/wps/product/cws_home/522482)

Our news correspondents report that additional information may be obtained by contacting R.K. Mohanty, University of Delhi, Sri Venkateswara College, Dept. of Math, New Delhi 110021, India. Additional authors for this research include S. Singh and S. Singh.

Keywords for this news article include: Asia, India, New Delhi, Computational Mathematics

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Source: Journal of Mathematics


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