Results 11 to 20 of about 218,484 (179)
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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General solutions of the Laplace equation
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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Solving Intuitionistic Fuzzy Transport Equations by Intuitionistic Fuzzy Laplace Transforms [PDF]
In this paper, we use an intuitionistic fuzzy Laplace transforms for solving intuitionistic fuzzy hyperbolic equations precisely the transport equation with intuitionistic fuzzy data under strongly generalized H-differentiability concept.
Belhallaj Zineb +3 more
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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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Separation of Laplace’s equation [PDF]
The following results are established in this paper: (I) ∗ ∗ ^{**} For the Laplace equation Δ θ = 0 \Delta \theta = 0 in curvilinear co-ordinates ( u , v , w ...
Levinson, N. +2 more
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An Approximate Solution of the Time-Fractional Two-Mode Coupled Burgers Equation
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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A stochastic log-Laplace equation [PDF]
We study a nonlinear stochastic partial differential equation whose solution is the conditional log-Laplace functional of a superprocess in a random environment. We establish its existence and uniqueness by smoothing out the nonlinear term and making use
Xiong, Jie
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In this study, the strong and weak forms of Darcy flow equation has been derived. The final obtained equation is Laplace partial differential equation. For total head evaluation, Laplace equation is solved using exact solution depending on Fourier series
Aram Mohammed Raheem
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The Solution of Generalization of the First and Second Kind of Abel’s Integral Equation
Integral equations are equations in which the unknown function is found to be inside the integral sign. N. H. Abel used the integral equation to analyze the relationship between kinetic energy and potential energy in a falling object, expressed by two ...
Muhammad Taufik Abdillah +2 more
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Four-Dimensional N=2(4) Superstring Backgrounds and The Real Heavens [PDF]
We study N=2(4) superstring backgrounds which are four-dimensional non-\Kahlerian with non-trivial dilaton and torsion fields. In particular we consider the case that the backgrounds possess at least one $U(1)$ isometry and are characterized by the ...
SAKAGUCHI, Makoto
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