Results 1 to 10 of about 9,056 (120)
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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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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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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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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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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An Approximate Solution of the Time-Fractional Two-Mode Coupled Burgers Equation
Fractal and Fractional, 2021 In this paper, we consider the time-fractional two-mode coupled Burgers equation with the Caputo fractional derivative. A modified homotopy perturbation method coupled with Laplace transform (He-Laplace method) is applied to find its approximate ...
Rachana Shokhanda +3 more
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Solutions of (2+1)-D & (3+1)-D Burgers Equations by New Laplace Variational Iteration Technique
Axioms, 2023 The new Laplace variational iterative method is used in this research for solving the (2+1)-D and (3+1)-D Burgers equations. This technique relies on the modified variational iteration method and the Laplace transform.
Gurpreet Singh +4 more
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Numerical Approximation of Fractional-Order Volterra Integrodifferential Equation
Journal of Function Spaces, 2020 Laplace transform is a powerful tool for solving differential and integrodifferential equations in engineering sciences. The use of Laplace transform for the solution of differential or integrodifferential equations sometimes leads to the solutions in ...
Xiaoli Qiang +3 more
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