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Journal of Applied & Computational Mathematics

ISSN: 2168-9679

Open Access

Mapundi K. Banda

Department of Mathematics and Applied Mathematics, University of Pretoria, Private Bag X20, Hatfield 0028, South Africa

Publications
  • Research   
    A New One-Dimensional Finite Volume Method for Hyperbolic Conservation Laws
    Author(s): José C. Pedro*, Mapundi K. Banda and Precious Sibanda

    In this paper, a new one-dimensional Finite Volume Method for Hyperbolic Conservation Laws is presented. The method consists in an improved numerical inter-cell flux function at the element interface. To back theoretically the method, necessary components for convergence are presented. Therefore, it is proved that the method is consistent with the P.D.E and that it is monotone with respect its variables. Moreover, to validate the approach and show its efficiency, we compute several one-dimensional test problems with discontinuous solutions and we make comparisons with traditional methods. The results show an improvement on the non-oscillatory shock-capturing properties based on the new approach... Read More»

    Abstract PDF

Google Scholar citation report
Citations: 1282

Journal of Applied & Computational Mathematics received 1282 citations as per Google Scholar report

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