The Non-dimensional Equations
Solution of two-dimensional non-linear Burgers’ equations with nonlocal boundary condition
... Burgers’ equations are a special case of the Navier-Stokes ...Burgers’ equations are an important differential equation from fluid dynamics, and are used to describe various natural phenomena such as ...
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Numerical solutions of one-dimensional non-linear parabolic equations using Sinc collocation method
... Sinc collocation method; Convergence analysis Abstract We propose a numerical method for solving singularly perturbed one-dimensional non- linear parabolic problems. The equation converted to the nonlinear ...
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Reducibility of beam equations in higher-dimensional spaces
... where G(x, u) = u + O(u ). Thanks to those results of admissible sets and the proof of the KAM theorem we obtain the existence of quasi-periodic solutions of a simper beam equation. In this paper we focus us our ...
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Splines For Two-Dimensional Partial Differential Equations
... tions on complex shaped planar domains in a simple and stable way. The main technique is the use of approximate Fekete points on the domains. Fekete points are near optimal points with respect to accuracy of ...
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Two Dimensional Image Denoising Using Partial Differential Equations with a Constraint on High Dimensional Domains.
... Semi-local means is a slight variant on the non-local means method. It differs only in that patches can only be compared if they are nearby, typically meaning that they fall within the same small square search ...
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5 Non-Linear Differential Equations
... Results are shown below for the one-dimensional example considered earlier, Eqn. 5.4, with four equal increments ˆ F 1/ 6 , and three iterations per increment. There are a number of variations of the ...
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Pullback attractor for N-dimensional thermoelastic coupled structure equations
... θ t – θ – γ u t = q(x, t) in × [τ , ∞), (1.2) in a bounded domain ⊂ R N with smooth boundary. Here α, β , γ , η are all positive con- stants, which arise from a model of the nonlinear thermoelastic coupled vibration ...
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On the approximation of high-dimensional differential equations in the hierarchical Tucker format
... differential equations for high-dimensional ...differential equations for the parameters of the hierarchical Tucker format from the Dirac-Frenkel variational ...the non-hierarchical Tucker ...
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Positive Steady States of Evolution Equations with Finite Dimensional Nonlinearities
... evolution equations with non-monotone nonlinearities of dimension two, and we establish a new fixed point theorem for set-valued ...a non-quasinilpotency result for a class of strictly positive ...
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Infinite-dimensional methods for path-dependent stochastic differential equations
... a non-unique way to functions of càdlàg paths; again, the choice of the space D is technical and is not (yet) a step toward considering stochastic processes with ...
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Symmetry group, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation
... Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation are ...differential equations under a pro- longed vector ...
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Dimensional Equations of Entropy
... engineering, dimensional analysis helps finding relationships between different physical quantities by determining some equations based on a few fundamental ...of dimensional analysis, routinely used ...
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Checking for Dimensional Correctness in Physics Equations
... Conclusion This paper has described a technique for determining the dimensional consistency of algebraic equations in physics. Unlike other methods, it does not depend on the user defin- ing the dimensions ...
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Solving Two-dimensional Euler Equations on GPU
... Euler equations on GPU using ...Two dimensional CUDA blocks are used to manage threads in the ...three dimensional thread blocks, the solver can be extended to three dimensional cases ...
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High order locally one dimensional methods for solving two dimensional parabolic equations
... Abstract Based on the locally one-dimensional strategy, we propose two high order finite difference schemes for solving two-dimensional linear parabolic equations. In the first method, fourth order ...
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A Seven Dimensional System of the Navier Stokes Equations for a Two Dimensional Incompressible Fluid on a Torus
... Abstract A seven-mode truncation system of the Navier-Stokes equations for a two-dimensional incompressi- ble fluid on a torus is considered. Its stationary solutions and stability are presented; the ...
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Attractivity for a k dimensional system of fractional functional differential equations and global attractivity for a k dimensional system of nonlinear fractional differential equations
... 5 Conclusions Investigating the attractive solutions of the problems is an interesting topic within the fractional calculus. In this manuscript, we focus on the attractivity of solutions for two k-dimensional ...
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A collocation spectral method for two-dimensional Sobolev equations
... Abstract This article mainly studies a collocation spectral method for two-dimensional (2D) Sobolev equations. To this end, a collocation spectral model based on the Chebyshev polynomials for the 2D Sobolev ...
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Application of Richardson extrapolation for multi-dimensional advection equations
... A Crank-Nicolson type scheme, which is of order two with respect to all independent variables, is used in the numerical solution of multi-dimensional advection equations. Normally, the order of accuracy of ...
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Orthogonal Collocation Method of the Two dimensional Burgers Equations
... The Finite Collocation Method for initial boundary value problem of two dimensional heat conduction equation[J], Journal of Shandong University, 03 (1994), 266-272. The characteristic C[r] ...
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