Laplace transform method for parabolic problems with time-dependent and nonlinear coefficients: Magnus integrator and linearization

Laplace Transform Method for Parabolic Problems with Time-Dependent Coefficients

SIAM Journal on Numerical Analysis ◽

10.1137/110824000 ◽

2013 ◽

Vol 51 (1) ◽

pp. 112-125 ◽

Cited By ~ 5

Author(s):

Hyoseop Lee ◽

Jinwoo Lee ◽

Dongwoo Sheen

Keyword(s):

Laplace Transform ◽

Time Dependent ◽

Parabolic Problems ◽

Laplace Transform Method ◽

Transform Method

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Solution of the Time-Dependent Schrodinger Equation by the Laplace Transform Method

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.68.1.76 ◽

1971 ◽

Vol 68 (1) ◽

pp. 76-81 ◽

Cited By ~ 2

Author(s):

S. H. Lin ◽

H. Eyring

Keyword(s):

Schrödinger Equation ◽

Laplace Transform ◽

Schrodinger Equation ◽

Time Dependent ◽

Laplace Transform Method ◽

Transform Method ◽

The Laplace Transform

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Timoshenko Beam Dynamics

Journal of Applied Mechanics ◽

10.1115/1.3408858 ◽

1971 ◽

Vol 38 (3) ◽

pp. 591-594 ◽

Cited By ~ 1

Author(s):

G. M. Anderson

Keyword(s):

Laplace Transform ◽

Timoshenko Beam ◽

General Problem ◽

Beam Dynamics ◽

Time Dependent ◽

Residue Theorem ◽

Laplace Transform Method ◽

Transform Method ◽

Beam Analysis ◽

The Laplace Transform

The general problem of Timoshenko beam analysis is solved using the Laplace transform method. Time-dependent boundary and normal loads are considered. It is established that the integrands of the inversion integrals are always single-valued for beams of finite length and modal solutions can always be obtained using the residue theorem.

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The solution of Poisson partial differential equations via Double Laplace Transform Method

Partial Differential Equations in Applied Mathematics ◽

10.1016/j.padiff.2021.100058 ◽

2021 ◽

pp. 100058

Author(s):

Amjad Ali ◽

Abdullah ◽

Anees Ahmad

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Laplace Transform ◽

Laplace Transform Method ◽

Partial Differential ◽

Transform Method ◽

Double Laplace Transform

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A LAPLACE TRANSFORM METHOD FOR THE SOLUTION OF SEMI-INFINITE AND FINITE STRIP PROBLEMS IN STRESS ANALYSIS

The Quarterly Journal of Mechanics and Applied Mathematics ◽

10.1093/qjmam/16.4.413 ◽

1963 ◽

Vol 16 (4) ◽

pp. 413-429 ◽

Cited By ~ 53

Author(s):

J. P. BENTHEM

Keyword(s):

Laplace Transform ◽

Stress Analysis ◽

Laplace Transform Method ◽

Transform Method ◽

Finite Strip

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Simultaneous determination of thermal diffusivity and thermal conductivity of liquids by the Laplace transform method.

JOURNAL OF CHEMICAL ENGINEERING OF JAPAN ◽

10.1252/jcej.24.587 ◽

1991 ◽

Vol 24 (5) ◽

pp. 587-592

Author(s):

Yoshihiro Iida ◽

Minoru Ouhashi

Keyword(s):

Thermal Conductivity ◽

Thermal Diffusivity ◽

Laplace Transform ◽

Simultaneous Determination ◽

Laplace Transform Method ◽

Transform Method ◽

The Laplace Transform

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Time Domain Computation of Full-Wave Partial Inductances Based on the Numerical Inversion of Laplace Transform Method

10.1109/emc/si/pi/emceurope52599.2021.9559153 ◽

2021 ◽

Author(s):

Fabrizio Loreto ◽

Daniele Romano ◽

Giulio Antonini ◽

Martin Stumpf ◽

Albert E. Ruehli

Keyword(s):

Laplace Transform ◽

Time Domain ◽

Numerical Inversion ◽

Laplace Transform Method ◽

Transform Method ◽

Full Wave

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Analytical solution to local fractional Landau-Ginzburg-Higgs equation on fractal media

Thermal Science ◽

10.2298/tsci2106449d ◽

2021 ◽

Vol 25 (6 Part B) ◽

pp. 4449-4455

Author(s):

Shu-Xian Deng ◽

Xin-Xin Ge

Keyword(s):

Analytical Solution ◽

Laplace Transform ◽

Present Article ◽

Iteration Method ◽

Variational Iteration Method ◽

Laplace Transform Method ◽

Transform Method ◽

Variational Iteration ◽

Fractal Media

The main objective of the present article is to introduce a new analytical solution of the local fractional Landau-Ginzburg-Higgs equation on fractal media by means of the local fractional variational iteration transform method, which is coupling of the variational iteration method and Yang-Laplace transform method.

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