Results 1 to 10 of about 174,039,740 (294)
Fundamental Solution of Laplace's Equation in Hyperspherical Geometry
Symmetry, Integrability and Geometry: Methods and Applications, 2011 Due to the isotropy of d-dimensional hyperspherical space, one expects there to exist a spherically symmetric fundamental solution for its corresponding Laplace-Beltrami operator.
Howard S. Cohl
doaj +1 more source
Application of the Chebyshev collocation method to solve boundary value problems of heat conduction
Discrete and Continuous Models and Applied Computational ScienceFor one-dimensional inhomogeneous (with respect to the spatial variable) linear parabolic equations, a combined approach is used, dividing the original problem into two subproblems.
Konstantin P. Lovetskiy +3 more
doaj +1 more source
Investigation of Doubly Nonlinear Parabolic Equation
Proceedings of the International Conference on Applied Innovations in ITWe study the properties of solutions for a porous medium equation (PME) in non-divergent form with a source term. The PME is a fundamental model in various physical and biological processes, including fluid flow through porous media, heat transfer, and ...
Makhmud Bobokandov +3 more
doaj +1 more source
How can we manage repairing a broken finite vibrating string? Solutions to the problem II
Journal of Optimization, Differential Equations and Their ApplicationsThe current research deals with the IBVP (JODEA, 31 (2) (2023), 89 – 114) for the 1D homogeneous wave equation with discontinuous piece-wise constant coefficient posed to study three approaches to implement the transmission conditions (called ‘repairing’
Vladimir L. Borsch
doaj +1 more source
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We develop complex Jacobi, Gegenbauer and Chebyshev polynomial expansions for the kernels associated with power-law fundamental solutions of the polyharmonic equation on d-dimensional Euclidean space.
Howard S. Cohl
doaj +1 more source
Solving the Klein–Gordon–Fock Equation Using Separation of Variables in the Light-Front Coordinates
AxiomsIn this article, we present a methodological and systematic approach to solving the Klein–Gordon–Fock equation using the separation of variables method, with particular emphasis on its formulation in light-front coordinates.
Gislan Silveira Santos +2 more
doaj +1 more source
Symmetry, Integrability and Geometry: Methods and Applications, 2012 Olver and Rosenau studied group-invariant solutions of (generally nonlinear) partial differential equations through the imposition of a side condition. We apply a similar idea to the special case of finite-dimensional Hamiltonian systems, namely Hamilton-
Philip Broadbridge +2 more
doaj +1 more source
Implementing parallel elliptic solver on a Beowulf cluster
Electronic Journal of Differential Equations, 1999 In a recent paper cite{zara} a parallel direct solver for the linear systems arising from elliptic partial differential equations has been proposed. The aim of this note is to present the initial evaluation of the performance characteristics of this ...
Marcin Paprzycki +2 more
doaj
On Darboux's Approach to R-Separability of Variables
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We discuss the problem of R-separability (separability of variables with a factor R) in the stationary Schrödinger equation on n-dimensional Riemann space.
Adam Szereszewski, Antoni Sym
doaj +1 more source
Superintegrable Stäckel Systems on the Plane: Elliptic and Parabolic Coordinates
Symmetry, Integrability and Geometry: Methods and Applications, 2012 Recently we proposed a generic construction of the additional integrals of motion for the Stäckel systems applying addition theorems to the angle variables.
Andrey V. Tsiganov
doaj +1 more source