Applied Mathematics

Volume 5, Issue 10 (June 2014)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.58  Citations  

A New Modification of the Method of Lines for First Order Hyperbolic PDEs

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DOI: 10.4236/am.2014.510138    4,537 Downloads   6,002 Views  Citations

ABSTRACT

A new modification of the Method of Lines is proposed for the solution of first order partial differential equations. The accuracy of the method is shown with the matrix analysis. The method is applied to a number of test problems, on uniform grids, to compare the accuracy and computational efficiency with the standard method.

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Alabdali, F. and Bakodah, H. (2014) A New Modification of the Method of Lines for First Order Hyperbolic PDEs. Applied Mathematics, 5, 1457-1462. doi: 10.4236/am.2014.510138.

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