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

• Journal title : Kyungpook mathematical journal
• Volume 52, Issue 4,  2012, pp.383-395
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2012.52.4.383
Title & Authors
Numerical Inversion Technique for the One and Two-Dimensional L2-Transform Using the Fourier Series and Its Application to Fractional Partial Differential Equations
Aghili, Arman; Ansari, Alireza;

Abstract
In this paper, we use a computational algorithm for the inversion of the one and two-dimensional $\small{\mathcal{L}_2}$-transform based on the Bromwich's integral and the Fourier series. The new inversion formula can evaluate the inverse of the $\small{\mathcal{L}_2}$-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.
Keywords
Laplace transform;$\small{\mathcal{L}_2}$-transform;Fourier series;Numerical inversion method;
Language
English
Cited by
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