Results 31 to 40 of about 222 (119)
Solving Two-Dimensional Helmholtz and Poisson Equations Using Double Laplace Transform Method
Indian Journal of Science and TechnologyObjectives: To explore the efficacy of the double Laplace transform technique in solving 2D Helmholtz and Poisson equations. Methods: The double Laplace transform clearly converts the 2D Helmholtz and Poisson equations into an algebraic calculation in ...
Ranjit R. Dhunde, P. Dhongle
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Lévy-Khintchine representation of the geometric mean of many positive numbers and applications
, 2014 In the paper, the authors establish, by Cauchy integral formula in the theory of complex functions, Levy-Khintchine representation for the geometric mean of many positive numbers, find that the geometric mean of many positive numbers is a complete ...
Feng Qi (祁锋) +2 more
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The axisymmetric Boussinesq‐type problem for a half‐space under optimal heating of arbitrary profile
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 40, Page 2123-2131, 2004., 2004 A solution of the axisymmetric Boussinesq‐type problem is derived for transient thermal stresses in a half‐space under heating by using the Laplace and Hankel transforms. An analytical method is developed to predict the temperature field that satisfies the prescribed mechanical conditions.
J. Rokne +3 more
wiley +1 more source
Indian Journal of Science and TechnologyObjectives: To investigates the solutions of fourth order partial integro-differential equations with high-order non-integer derivatives and weakly singular kernels.
Ranjit R. Dhunde
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Mathematical Problems in Engineering, Volume 2004, Issue 3, Page 185-195, 2004., 2004 This paper presents an integral solution of the generalized one‐dimensional equation of energy transport with the convective term.The solution of the problem has been achieved by the use of a novel technique that involves generalized derivatives (in particular, derivatives of noninteger orders).
Vladimir V. Kulish
wiley +1 more source
The solution of radial diffusivity and shock wave equations by Elzaki variational iteration method
, 2015 In this work, we present a reliable combined Elzaki transform and the new modified variational iteration method to solve radial diffusivity and shock wave equations.
T. Elzaki, Hwajoon Kim
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On q-Laplace Transforms of the q-Bessel Functions [PDF]
, 2007 Mathematics Subject Classification: 33D15, 44A10, 44A20The present paper deals with the evaluation of the q-Laplace transforms of a product of basic analogues of the Bessel functions.
Purohit, S., Kalla, S.
core
Laplace transform generation theorems and local Cauchy problems
Abstract and Applied Analysis, Volume 2004, Issue 1, Page 69-90, 2004., 2004 We give new criterions to decide if some vector‐valued function is a local Laplace transform and apply this to the theory of local Cauchy problems. This leads to an improvement of known results and new Hille‐Yosida‐type theorems for local convoluted semigroups.
Claus Müller
wiley +1 more source
Complexity, Volume 2026, Issue 1, 2026.The fractional Belousov–Zhabotinsky system (BZS) is an important reaction–diffusion model used to describe oscillatory chemical reactions, pattern formation, and memory‐dependent dynamical processes arising in chemistry and related applied sciences. The main objective of this study is to investigate the analytical properties of the fractional BZS and ...
Faten H. Damag +5 more
wiley +1 more source
Analytical investigations of the Sumudu transform and applications to integral production equations
Mathematical Problems in Engineering, Volume 2003, Issue 3, Page 103-118, 2003., 2003 The Sumudu transform, whose fundamental properties are presented in this paper, is little known and not widely used. However, being the theoretical dual to the Laplace transform, the Sumudu transform rivals it in problem solving. Having scale and unit‐preserving properties, the Sumudu transform may be used to solve problems without resorting to a new ...
Fethi Bin Muhammed Belgacem +2 more
wiley +1 more source