Results 1 to 10 of about 115,635 (232)
Analytical Solutions to Two-Dimensional Nonlinear Telegraph Equations Using the Conformable Triple Laplace Transform Iterative Method [PDF]
Advances in Mathematical Physics, 2022 The conformable fractional triple Laplace transform approach, in conjunction with the new Iterative method, is used to examine the exact analytical solutions of the (2 + 1)-dimensional nonlinear conformable fractional Telegraph equation.
Alemayehu Tamirie Deresse
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Matrix Laplace Transform Method and It Applications on Spring-Mass Systems
Journal Focus Action of Research Mathematic, 2020 There are several methods to solve an initial value problem of second-order homogenous linear systems of differential equations with constant coefficients. That are elimination method and matrix method.
Syamsul Arifin
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Nonlinearities distribution Laplace transform-homotopy perturbation method [PDF]
SpringerPlus, 2014 Abstract This article proposes non-linearities distribution Laplace transform-homotopy perturbation method (NDLT-HPM) to find approximate solutions for linear and nonlinear differential equations with finite boundary conditions. We will see that the method is particularly relevant in case of equations with nonhomogeneous non-polynomial terms.
Filobello-Nino, Uriel +11 more
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Asynchronous Time-Parallel Method based on Laplace Transform [PDF]
International Journal of Computer Mathematics, 2019 Laplace transform method has proved to be very efficient and easy to parallelize for the solution of time-dependent problems. However, the synchronization delay among processors implies an upper bound on the expectable acceleration factor, which leads to a lot of wasted time.
Frédéric Magoulès, Qinmeng Zou
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Tricomi’s Method for the Laplace Transform and Orthogonal Polynomials [PDF]
Symmetry, 2021 Tricomi’s method for computing a set of inverse Laplace transforms in terms of Laguerre polynomials is revisited. By using the more recent results about the inversion and the connection coefficients for the series of orthogonal polynomials, we find the possibility to extend the Tricomi method to more general series expansions. Some examples showing the
Paolo Emilio Ricci +2 more
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Solving Fractional Difference Equations Using the Laplace Transform Method [PDF]
Abstract and Applied Analysis, 2014 We discuss the Laplace transform of the Caputo fractional difference and the fractional discrete Mittag-Leffer functions. On these bases, linear and nonlinear fractional initial value problems are solved by the Laplace transform method.
Li Xiao-yan, Jiang Wei
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A Laplace Transform Method for the Image In-Painting
Journal of Algorithms & Computational Technology, 2015 There are many image processing techniques based on partial differential equations that perform well, but they consume much computational time. It's vital that rapid and efficient ways of solving these equations are developed.
N. Kokulan, C.-H. Lai
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Fractal and Fractional, 2023 This work presents a highly accurate method for the numerical solution of the advection–diffusion equation of fractional order. In our proposed method, we apply the Laplace transform to handle the time-fractional derivative and utilize the Chebyshev ...
Farman Ali Shah +4 more
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Results in Physics, 2023 Differential equations involving fractional order operators appear frequently in various research areas. Solving a differential equation containing a fractional derivative is very difficult.
Kamran +4 more
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Complexity, 2022 In this work, we proposed a new method called conformable fractional double Laplace–Sumudu transform decomposition method (CFDLSTDM) to solve fractional partial differential equations (FPDEs).This method is a combination of the Laplace–Sumudu transform ...
Jia Honggang, Zhao Yanmin
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