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A New Modification of the Method of Lines for First Order Hyperbolic PDEs
Department of Mathematics Science Faculty for Girls, King Abdulaziz University, Jeddah, KSA
Department of Mathematics Science Faculty for Girls, King Abdulaziz University, Jeddah, KSA
- 1 Department of Mathematics Science Faculty for Girls, King Abdulaziz University, Jeddah, KSA
- 2 Department of Mathematics Science Faculty for Girls, King Abdulaziz University, Jeddah, KSA
Applied Mathematics·Volume 05 (2014)·Pages 1457–1462·Published 22 May 2014·DOI10.4236/am.2014.510138
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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.
KeywordsMethod of LinesFirst-Order Hyperbolic EquationNumerical Solution
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