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Theorems and applications of two-dimensional Laplace transforms
Ukrainian Mathematical Journal, 1988The object of this paper is to establish two new formulas for calculating Laplace transform pairs of two dimensions from known one-dimensional Laplace transforms. Two boundary-value problems are also solved by using double Laplace transforms.
Dahiya, R. S., Egwurube, Michael
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On Conformable Double Laplace Transform and One Dimensional Fractional Coupled Burgers’ Equation
Symmetry, 2019 In the present work we introduced a new method and name it the conformable double Laplace decomposition method to solve one dimensional regular and singular conformable functional Burger’s equation.
Hassan Eltayeb +2 more
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Laplace, Bäcklund and gauge transformations in the two-dimensional Toda lattice
Physics Letters A, 1987Abstract The linear Backlund transformation (LBT) associated with the two-dimensional Toda lattice is shown to be equivalent to a sequence of Laplace transformations of a hyperbolic linear differential equation. When the Toda lattice is cut at a point, the corresponding Laplace invariant vanishes and the LBT can be integrated.
S. Saito, N. Saitoh
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Two-dimensional Laplace transform-based analysis for communication systems
48th Midwest Symposium on Circuits and Systems, 2005., 2005This paper extends application of 2D Laplace transform (2DLT) as a frequency-domain tool for analysis and synthesis of communication systems. The fact that the signal and system characteristics are separable functions of time in such systems enhances the applicability of such powerful method and facilitates derivation of the frequency response function.
N. Bayan, S. Erfani, B. Shahrrava
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On two-dimensional numerical inverse laplace transforms with transmission line applications
2016 Progress in Electromagnetic Research Symposium (PIERS), 2016Continuous space-time systems, such as transmission lines (TL) with distributed parameters, are normally described by linear 2D partial differential equations, and hence in these cases it is very difficult or even impossible to obtain the space-time response analytically, which brings out the importance of utilizing numerical techniques [1, 2]. In this
Nawfal Al-Zubaidi R-Smith +1 more
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Numerical inversion of two-dimensional Laplace transforms—Fourier series representation
Applied Numerical Mathematics, 1995The Laplace transform provides a powerful method for analyzing linear systems. It is heavily used in solving differential and integral equations. In a wide variety of applied problems, the solution requires the inversion of Laplace transforms involving numerous functions.
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Multiconductor Transmission Lines Sensitivity via Two-Dimensional Laplace Transform
2006 13th IEEE International Conference on Electronics, Circuits and Systems, 2006The paper deals with a non-traditional method for determination of sensitivities of voltage and/or current waves propagating down multiconductor transmission lines (MTLs). The main idea is to use a two-dimensional Laplace transform (2D-LT) to replace the originally partial differential equations describing the uniform MTLs in the (x, t)-domain with ...
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The block-pulse functions method of the two-dimensional Laplace transform
International Journal of Systems Science, 1983This paper extends the recently developed method of one-dimensional (1D) operational calculus via block-pulse functions method. It was shown that the inverse Laplace transform of a two-dimensional (2D) rational transfer function can easily be obtained in terms of block-pulse functions as a set of linear recursive equations.
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Two-dimensional Laplace, Hankel, and Mellin transforms of linear time-varying systems
2009 52nd IEEE International Midwest Symposium on Circuits and Systems, 2009Application of the two-dimensional Laplace transform (2DLT) and some of its properties with regard to linear time-varying (LTV) system representation are investigated. In particular, the 2DLT characterization leads to a bifrequency representation for LTV systems that exhibit circular symmetry.
Shervin Erfani, Nima Bayan
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International Journal for Numerical Methods in Engineering, 2005
AbstractIn this paper, we present a direct meshless method of boundary integral equation (BIE), known as the boundary element‐free method (BEFM), for two‐dimensional (2D) elastodynamic problems that combines the BIE method for 2D elastodynamics in the Laplace‐transformed domain and the improved moving least‐squares (IMLS) approximation.
Liew, KM, Cheng, YM, Kitipornchai, S
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AbstractIn this paper, we present a direct meshless method of boundary integral equation (BIE), known as the boundary element‐free method (BEFM), for two‐dimensional (2D) elastodynamic problems that combines the BIE method for 2D elastodynamics in the Laplace‐transformed domain and the improved moving least‐squares (IMLS) approximation.
Liew, KM, Cheng, YM, Kitipornchai, S
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