Results 11 to 20 of about 80,701 (242)
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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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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The Generalized Stieltjes Transform and Its Inverse [PDF]
, 2004 The generalized Stieltjes transform (GST) is an integral transform that depends on a parameter $\rho > 0$. In previous work a convenient form of the inverse transformation was derived for the case $\rho = 3/2$. This paper generalizes that result to all $\
Schwarz, John H.
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Laplace transform of spherical Bessel functions [PDF]
, 2001 We provide a simple analytic formula in terms of elementary functions for the Laplace transform j_{l}(p) of the spherical Bessel function than that appearing in the literature, and we show that any such integral transform is a polynomial of order l in ...
A Ludu +7 more
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Modified Sumudu Transform and Its Properties
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021 Saif et al. (J. Math. Comput. Sci. 21 (2020) 127-135) considered modified Laplace transform and developed some of their certain properties and relations.
Uğur Duran
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Alexandria Engineering Journal, 2019 The present work focuses on formulating a numerical scheme for approximation of Volterra integral equations with highly oscillatory Bessel kernels. The application of Laplace transform reduces integral equations into algebraic equations.
Marjan Uddin, Muhammad Taufiq
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Laplace Transform Inversion of Rational Functions [PDF]
Geophysical Journal International, 1971 Summary In previous papers the first author has demonstrated the application of rational approximations to Laplace transform inversion in theoretical seismic problems. One of the difficulties in the use of rational approximations is the computation of the roots (usually complex) of the denominator in order to effect the inversion.
Longman, I. M., Sharir, M.
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Transient MHD Convective Flow of Fractional Nanofluid between Vertical Plates [PDF]
Journal of Applied and Computational Mechanics, 2019 Effects of the uniform transverse magnetic field on the transient free convective flows of a nanofluid with generalized thermal transport between two vertical parallel plates have been analyzed.
Najma Ahmed +5 more
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Discrete dipole approximation in time domain through the Laplace transform [PDF]
, 2013 We present a form of the discrete dipole approximation for electromagnetic scattering computations in time domain. We show that the introduction of complex frequencies, through the Laplace transform, significantly improves the computation time.
Belkebir, K +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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