Results 181 to 190 of about 115,635 (232)
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2017
Engineers try to develop techniques for analyzing systems. Such systems are modeled by ODEs. Laplace transformation (LT), turning differential equations into algebraic equations, greatly simplifies the solution process. Laplace transform is an example of a broader class of transforms known as integral transforms. One uses the LT to transform the system
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Engineers try to develop techniques for analyzing systems. Such systems are modeled by ODEs. Laplace transformation (LT), turning differential equations into algebraic equations, greatly simplifies the solution process. Laplace transform is an example of a broader class of transforms known as integral transforms. One uses the LT to transform the system
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The Method of Laplace Transforms
1992A function f: R→R satisfying the conditions, 1. f(x)=0 for x=0 2. | f (x)| O, M,p 0 ∈ R + 3. f satisfies the Dirichlet condition for any finite interval of the positive real axis, i.e.
Gheorghe Micula, Paraschiva Pavel
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2001
Laplace transforms are one of a class of “operational methods” that are useful for solving differential equations, primarily equations with constant coefficients. The hallmark of operational methods is supposed to be that a “hard” problem is replaced by an “easier” equivalent calculation.
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Laplace transforms are one of a class of “operational methods” that are useful for solving differential equations, primarily equations with constant coefficients. The hallmark of operational methods is supposed to be that a “hard” problem is replaced by an “easier” equivalent calculation.
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Laplace-Transform Based Inversion Method for Fractional Dispersion
Transport in Porous Media, 2013Partial differential equations with memory are challenging models for mass transport in porous media where fluid and tracer may be stored by the solid matrix, and then released. Moreover, integral transforms (generalizing time moments) of solutions to such models are linked to the corresponding transport parameters.
Ouloin, M. +4 more
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A new computational method for Laplace transforms by decomposition method
Applied Mathematics and Computation, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Babolian, E., Biazar, J., Vahidi, A. R.
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2016
This chapter is devoted on applications of the Laplace transform on time scales to dynamic equations, generalized Volterra integral equations and generalized Volterra integro-differential equations.
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This chapter is devoted on applications of the Laplace transform on time scales to dynamic equations, generalized Volterra integral equations and generalized Volterra integro-differential equations.
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An operator method for evaluating Laplace transforms
International Journal of Mathematical Education in Science and Technology, 2005This note discusses a simple operator technique based on the differentiation and shifting properties of the Laplace transform to find Laplace transforms for various elementary functions. The method is simpler than known integration techniques to evaluate Laplace transforms.
B. G. Lanoue, O. Yürekli *
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Laplace transform methods for linearizing multidimensional systems
Economics Letters, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaoyong, Cui, Gong, Liutang
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The Laplace transform method for Burgers' equation
International Journal for Numerical Methods in Fluids, 2010AbstractThe Laplace transform method (LTM) is introduced to solve Burgers' equation. Because of the nonlinear term in Burgers' equation, one cannot directly apply the LTM. Increment linearization technique is introduced to deal with the situation. This is a key idea in this paper. The increment linearization technique is the following: In time level t,
Chen, Suqin +3 more
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Inverse Problems for Memory Kernels by Laplace Transform Methods
Zeitschrift für Analysis und ihre Anwendungen, 2000Basic inverse problems for identification of memory kernels in linear heat conduction and viscoelasticity in the infinite time interval (0;1) are treated by Laplace transform method in coupling with Fourier’s method for the direct initial-boundary value problem of the corresponding integro-differential equation.
Janno, J., von Wolfersdorf, L.
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