Results 21 to 30 of about 51 (50)
Alexandria Engineering Journal, 2023 The generalized Hirota-Satsuma coupled KdV system with fractional-order derivative plays a significant role to simulate the interaction of nearby identical-weight particles in a crystal lattice structure, two long waves interaction with different ...
H.M. Shahadat Ali +4 more
doaj +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
Geometrical Methods for Solving of Fully Nonlinear Partial Differential Equations, by P. Popivanov [PDF]
, 2006 [Kutev Nikolai; Кутев Николай]2000 Mathematics Subject Classification: 35-02, 53-02, 35B65, 35C05, 35F20, 35G25, 35L60, 57R45, 58C28 ...
Kutev, Nikolai
core
, 1996 The spatial distribution of chipped lithic artifacts excavated at site 35C05, a Chinookan plankhouse of the protohistoric period, was observed to test the hypothesis that a gradient of material culture -- reflecting social status -- should be evident ...
Smith, Cameron McPherson
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, 1998 The purpose of this study was to develop a method of assessing and measuring the amount of curation behavior present in a bone and antler tool assemblage.
Davis, Deborah
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Explicit Formulas to the Solutions of Several Equations of Mathematical Physics [PDF]
, 2014 [Popivanov Petar; Попиванов Петър]Explicit formulas to the solutions of several equations of mathematical physics including semilinear multidimensional Klein-Gordon equation, the wave equation, Kadomtsev-Petviashvili equation and cubic first order ...
Popivanov, Petar
core
Note on a boundary value problem of Poisson's equation
, 2013 This note shows that for a BVP of Poisson’s equation withQ m(u, v) as its source function, a direct evaluation of some integrals yields the same exact results as obtained by similarity analysis ...
Feng, Chao Kang +1 more
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