Results 1 to 10 of about 66 (42)
Advances in Mechanical Engineering, 2021 For this work, a novel numerical approach is proposed to obtain solution for the class of coupled time-fractional Boussinesq–Burger equations which is a nonlinear system.
Mahmoud S Alrawashdeh, Shifaa Bani-Issa
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Nonlinear Engineering, 2023 In this work, the generalized scale-invariant analog of the Korteweg–de Vries equation is studied. For the first time, the tanh–coth methodology is used to find traveling wave solutions for this nonlinear equation.
González-Gaxiola Oswaldo +1 more
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Annales Mathematicae Silesianae, 2020 This work presents a numerical comparison between two efficient methods namely the fractional natural variational iteration method (FNVIM) and the fractional natural homotopy perturbation method (FNHPM) to solve a certain type of nonlinear Caputo time ...
Khalouta Ali, Kadem Abdelouahab
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Stochastic ranking process with time dependent intensities [PDF]
, 2010 We consider the stochastic ranking process with space-time dependent jump rates for the particles. The process is a simplified model of the time evolution of the rankings such as sales ranks at online bookstores.
Yuu Hariya +5 more
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Eigenstructure of the equilateral triangle. Part III. The Robin problem
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 16, Page 807-825, 2004., 2004 Lamé′s formulas for the eigenvalues and eigenfunctions of the Laplacian on an equilateral triangle under Dirichlet and Neumann boundary conditions are herein extended to the Robin boundary condition. They are shown to form a complete orthonormal system. Various properties of the spectrum and modal functions are explored.
Brian J. McCartin
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Bäcklund transformations for several cases of a type of generalized KdV equation
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 63, Page 3369-3377, 2004., 2004 An alternate generalized Korteweg‐de Vries system is studied here. A procedure for generating solutions is given. A theorem is presented, which is subsequently applied to this equation to obtain a type of Bäcklund transformation for several specific cases of the power of the derivative term appearing in the equation. In the process, several interesting,
Paul Bracken
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An approximate analytic solution of a particular boundary value problem
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 8, Page 513-520, 2001., 2001 This note is concerned with the three‐dimensional quasi‐steady‐state heat conduction equation subject to certain boundary conditions in the whole x′y′‐plane and finite in z′‐direction. This type of boundary value problem arises in laser welding process. The solution to this problem can be represented by an integral using Fourier analysis. This integral
Ugur Tanriver, Aravinda Kar
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Journal of Ocean Engineering and Science, 2022 This paper systematically investigates the exact solutions to an extended (2+1)-dimensional Boussinesq equation, which arises in several physical applications, including the propagation of shallow-water waves, with the help of the Lie symmetry analysis ...
Sachin Kumar, Setu Rani
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Some properties of the Feynman‐Kac functional
International Journal of Stochastic Analysis, Volume 8, Issue 1, Page 1-10, 1995., 1994 The Feynman‐Kac formula and its connections with classical analysis were initiated in the now celebrated paper [6] of M. Kac. It soon became obvious that the formula provides a powerful tool for solving partial differential equations by running the Brownian motion process. K.L. Chung and K.M.
S. Graversen +2 more
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Journal of Ocean Engineering and Science, 2022 The physical principles of natural occurrences are frequently examined using nonlinear evolution equations (NLEEs). Nonlinear equations are intensively investigated in mathematical physics, ocean physics, scientific applications, and marine engineering ...
Sachin Kumar, Amit Kumar
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