Results 1 to 10 of about 13,053 (205)
Conformable Double Laplace–Sumudu Transform Decomposition Method for Fractional Partial Differential Equations [PDF]
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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Analysis for pressure transient of coalbed methane reservoir based on Laplace transform finite difference method [PDF]
Petroleum, 2015 Based on fractal geometry, fractal medium of coalbed methane mathematical model is established by Langmuir isotherm adsorption formula, Fick's diffusion law, Laplace transform formula, considering the well bore storage effect and skin effect. The Laplace
Lei Wang +4 more
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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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Computation of analytical Laplace transforms by the differential transform method
Mathematical and Computer Modelling, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hossein Abolghasemi +1 more
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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
Ricci, Paolo Emilio +2 more
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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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ANALYTIC SOLUTION TO BENJAMIN-BONA-MAHONY EQUATION BY USING LAPLACE ADOMIAN DECOMPOSITION METHOD [PDF]
Matrix Science Mathematic, 2019 In this paper, we want to find the analytic solution of Benjamin-Bona-Mahony (BBM) equation by using Laplace Adomian Decomposition Method. Laplace Adomian Decomposition Method is an excellent mathematical tool for solving linear and nonlinear ...
Muhammmad Ikram +2 more
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Solutions of Three Dimensional Nonlinear Klein-Gordon Equations by Using Quadruple Laplace Transform
International Journal of Differential Equations, 2022 This study focuses on solving three-dimensional non-linear Klein-Gordon equations of four variables by using the quadruple Laplace transform method coupled with the iterative method.
Wubshet Ibrahim, Mesele Tamiru
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RBF-Based Local Meshless Method for Fractional Diffusion Equations
Fractal and Fractional, 2023 The fractional diffusion equation is one of the important recent models that can efficiently characterize various complex diffusion processes, such as in inhomogeneous or heterogeneous media or in porous media.
Kamran +5 more
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