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

Abstract

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.