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

Fatmah M. Alabdali; Huda Omar Bakodah

doi:10.4236/am.2014.510138

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Applied Mathematics > Vol.5 No.10, June 2014

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

Fatmah M. Alabdali, Huda Omar Bakodah

Department of Mathematics Science Faculty for Girls, King Abdulaziz University, Jeddah, KSA.

DOI: 10.4236/am.2014.510138 PDF HTML 3,884 Downloads 4,671 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.

Keywords

Method of Lines, First-Order Hyperbolic Equation, Numerical Solution

Share and Cite:

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.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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[3]	Sharaf, A.A. and Bakodah, H.O. (2005) A Good Spatial Discretization in the Method of Lines. Applied Mathematics and Computation, 171-172, 1253-1263.
[4]	Carver, M.B. and Hinds, H.W. (1978) The Method of lines and the Advective Equation. Simulation, 31, 59-69.