Results 31 to 40 of about 13,053 (205)
Initial and boundary value problems in two and three dimensions [PDF]
, 2010 This thesis: (a) presents the solution of several boundary value problems (BVPs) for the Laplace and the modified Helmholtz equations in the interior of an equilateral triangle; (b) presents the solution of the heat equation in the interior of an ...
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Matrix Laplace Transform Method and It Applications on Spring-Mass Systems
Journal Focus Action of Research Mathematic, 2020 There are several methods to solve an initial value problem of second-order homogenous linear systems of differential equations with constant coefficients. That are elimination method and matrix method.
Syamsul Arifin
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On the Properties of Some Inversion Methods of the Laplace Transform
Vestnik St. Petersburg University, Mathematics, 2023 The problem of inversion of the integral Laplace transform, which belongs to the class of ill-posed problems, is considered. Integral equations are reduced to ill-conditioned systems of linear algebraic equations, in which the unknowns are either the coefficients of the series expansion in terms of special functions, or the approximate values of the ...
Lebedeva, A. V., Ryabov, V. M.
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The New G-Double-Laplace Transforms and One-Dimensional Coupled Sine-Gordon Equations
AxiomsThis paper establishes a novel technique, which is called the G-double-Laplace transform. This technique is an extension of the generalized Laplace transform.
Hassan Eltayeb, Said Mesloub
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Alexandria Engineering Journal, 2018 In this paper, we considered nonlinear systems of fractional order differential equations. They have been solved by a computational methods which are so-called Laplace Adomian decomposition method (LADM) and modified Laplace decomposition method (MLDM ...
Osama H. Mohammed, Huda A. Salim
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High-resolution reconstruction for multidimensional laplace NMR [PDF]
, 2021 As a perfect complement to conventional NMR that aims for chemical structure elucidation, Laplace NMR constitutes a powerful technique to study spin relaxation and diffusion, revealing information on molecular motions and spin interactions.
Telkki, V.-V. (Ville-Veikko) +4 more
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Partial Differential Equations in Applied MathematicsThis article employs the Laplace transform approach to solve the Bagley–Torvik equation including Caputo’s fractional derivative. Laplace transform is a powerful method for enabling solving integer and non-integer order ODEs and PDEs in engineering and ...
Dania Santina +4 more
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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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Solving Generalized Heat and Generalized Laplace Equations Using Fractional Fourier Transform
Fractal and Fractional, 2023 In the present work, the main objective is to find the solution of the generalized heat and generalized Laplace equations using the fractional Fourier transform, which is a general form of the solution of the heat equation and Laplace equation using the ...
Sri Sulasteri +4 more
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An Iterative Method for the Numerical Inversion of Laplace Transforms [PDF]
Mathematics of Computation, 1995 We present an algorithm for the numerical inversion of Laplace transforms that is a particular case of the iterated regularization method proposed by Vainikko in 1982. To construct the finite-dimensional space, we use Laguerre polynomials. Error bounds for the approximations are derived.
Cunha, Cristina, Viloche, Fermin
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