Numerical Solution of Eikonal Equation Using Finite Difference Method

Sana'a Abdullah Alotibi

doi:10.24297/jam.v15i0.7981

Authors

Sana'a Abdullah Alotibi Mrs.

DOI:

https://doi.org/10.24297/jam.v15i0.7981

Keywords:

Wave Propagation, Eikonal Equation, Wave Front, Partial Differential Equation, Analytical Solutions, Tsunami Wave.

Abstract

In this paper, a method to calculate tsunami wave front is introduced using the finite difference method to solve the ill-posed problem and to calculate perturbed velocity of the wave front. Comparison between the actual and approximate solution will be proposed in a table form and a graphic form.

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Author Biography

Sana'a Abdullah Alotibi, Mrs.

Department Mathematics, King Abdulaziz University, Rabigh, Kingdom of Saudi Arabia

References

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An.G. Marchuk, E.D. Moskalensky, Some analytical solutions for tsunami wave rays and front,2010.

J.W.Thomas,Numerical Partial differential equation, spring science +business,inc,new York,1995.