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On the inverstion of the Laplace transform

Al-Shuaibi, Abdulaziz Abdullah Othman (1992) On the inverstion of the Laplace transform. PhD thesis, King Fahd University of Petroleum and Minerals.


Arabic Abstract


English Abstract

The objective of this work is to develop new methods for the numerical inversion of the Laplace transform. The 1st method is an approximation by Legendre polynomials and an estimation of the error bounds via some optimal parameters shall be derived. The 2nd method overcomes the ill-posedness by using the Tikhonov regularization. The numerical treatment is based on convolution of Hermite polynomials approximations. The spectral analysis provides a spectral representation leading to a real inversion formula, and by using pseudo-differential operators techniques, we shall obtain a direct approximation method.

Item Type:Thesis (PhD)
Date:September 1992
Date Type:Completion
Divisions:College Of Sciences > Mathematical Science Dept
Creators:Al-Shuaibi, Abdulaziz Abdullah Othman
Committee Advisor:Boumenir, Amin
Committee Members:Bettayeb, Mammar and Iqbal, Mohammad and Tarman, Isik and El-Gebeily, Mohammed A.
ID Code:10391
Deposited By:KFUPM ePrints Admin
Deposited On:22 Jun 2008 17:03
Last Modified:30 Apr 2011 15:34

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