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Numerical Inversion Technique for the One and Two-Dimensional L2-Transform Using the Fourier Series and Its Application to Fractional Partial Differential Equations

Arman Aghili|Alireza Ansari
경북대학교 자연과학대학 수학과|2012.12|Kyungpook Mathematical Journal|제52권 제4호|pp. 383-395

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참고문헌

키워드

Laplace transformFourier seriesL2-transformNumerical inversion method
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초록

In this paper, we use a computational algorithm for the inversion of the one and two-dimensional L2-transform based on the Bromwich's integral and the Fourier series. The new inversion formula can evaluate the inverse of the L2-transform with considerable accuracy over a wide range of values of the independent variable and can be devised for the functions which are not Laplace transformable and have damping motion in small interval near origin.

Abstract

In this paper, we use a computational algorithm for the inversion of the one and two-dimensional L2-transform based on the Bromwich's integral and the Fourier series. The new inversion formula can evaluate the inverse of the L2-transform with considerable accuracy over a wide range of values of the independent variable and can be devised for the functions which are not Laplace transformable and have damping motion in small interval near origin.

참고문헌 (17)

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  4. A. Aghili, "An Inversion technique for E2;1-transform with applications", Inter. J. Contemp. Math. Sci., 3(16), pp.771~780 (2008)
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