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On Conformable Laplace’s Equation [PDF]
Mathematical Problems in Engineering, 2021 The most important properties of the conformable derivative and integral have been recently introduced. In this paper, we propose and prove some new results on conformable Laplace’s equation. We discuss the solution of this mathematical problem with Dirichlet-type and Neumann-type conditions. All our obtained results will be applied to some interesting
Martínez González, Francisco Martín +3 more
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Mathematical Modelling and Analysis, 2022 The time-dependent Laplace-type equation of variable coefficients for anisotropic inhomogeneous media is discussed in this paper. Numerical solutions to problems which are governed by the equation are sought by using a combined Laplace transform and ...
Mohammad Ivan Azis
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InPrime, 2021 In this paper, we investigate the numerical results between Implicit and Crank-Nicolson method for Laplace equation. Based on the numerical results obtained, we get the conclusion that the absolute error of Crank-Nicolson method is smaller than the ...
Mohammad Ghani
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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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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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Analysis of Volterra Integrodifferential Equations with the Fractal-Fractional Differential Operator
Complexity, 2023 In this paper, a class of integrodifferential equations with the Caputo fractal-fractional derivative is considered. We study the exact and numerical solutions of the said problem with a fractal-fractional differential operator.
null Kamran +5 more
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Towards a new triple integral transform (Laplace–ARA–Sumudu) with applications
Arab Journal of Basic and Applied Sciences, 2023 The main objective of this work is to introduce a novel generalization of double transformations called the triple Laplace–ARA–Sumudu transform (TLARAST).
Rania Saadeh +3 more
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A NumericalInvestigation for a Class of Transient-State Variable Coefficient DCR Equations
Mathematics, 2023 In this paper, a combined Laplace transform (LT) and boundary element method (BEM) is used to find numerical solutions to problems of anisotropic functionally graded media that are governed by the transient diffusion–convection–reaction equation.
Mohammad Ivan Azis
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General solutions of the Laplace equation
Partial Differential Equations in Applied Mathematics, 2022 With the purpose of concisely and effectively obtaining the general or exact solutions of partial differential equations (PDEs), we put forward some universal Z1transformations in present paper.
Hong Lai Zhu
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Results in Physics, 2020 A numerical inverse Laplace transform method is established using Bernoulli polynomials operational matrix of integration. The efficiency of the method is demonstrated through some standard nonlinear differential equations: Duffing equation, Van der Pol ...
Dimple Rani, Vinod Mishra
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