Fundamental Solution (Green Function)
Fundamental solution of the Laplacian on flat tori and boundary value problems for the planar Poisson equation in rectangles
... the fundamental solution for the Laplacian (), it is straightforward us- ing the image method (by an appropriate periodic distribution of images) to obtain the exact expression of the Green function for ...
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On Some New Properties of the Fundamental Solution to the Multi-Dimensional Space- and Time-Fractional Diffusion-Wave Equation
... particular cases of the fundamental solution G α,β,n in terms of the Wright type functions. Discussion 325[r] ...
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Effects of Generalized Fundamental Solution (GFS) on Generalized Integral Representation Method (GIRM)
... Integral Representation Method (IRM) is developed to Generalized Integral Representation Method (GIRM) and can treat any kinds of problems including nonlinear problems. GIRM uses Generalized Fundamental ...
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ON FUNDAMENTAL SOLUTION FOR AUTONOMOUS LINEAR RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS
... the fundamental solu- tion of an autonomous linear retarded functional differential equation (RFDE) along with its supporting cast of actors: kernel matrix, char- acteristic matrix, resolvent matrix, and the ...
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Solution of a Diffusion Problem in a Non-Homogeneous Flow and Diffusion Field by the Integral Representation Method (IRM)
... the fundamental function is chosen first, and a differential equation is defined properly reflecting the fundamental solution and the boundary value ...
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Stability of a Quadratic Functional Equation in the Spaces of Generalized Functions
... the fundamental solution of the heat equation, we obtain the general solution and prove the Hyers-Ulam stability of this equation in the spaces of generalized functions such as tempered distributions ...
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Time estimates for the Cauchy problem for a third order hyperbolic equation
... classical solution of this problem is obtained in the form of convolutions of the right-hand side and the initial data with the fundamental solution of the ...the solution in question which ...
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Development of Special elements in hybrid FEM
... with fundamental solution approximation in the absence of body forces, and the other is the special hybrid element in which the fundamental solution approximations used in general elements are ...
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The Dirichlet problem for the time-fractional advection-diffusion equation in a line segment
... A comprehensive survey of research on the fractional advection diffusion equation as well as of the numerical methods used for its solving can be found in []. In the literature there are only several papers in which the ...
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The method of fundamental solutions for an inverse boundary value problem in static thermo-elasticity
... of fundamental solutions (MFS) which offers several advantages over the more established boundary element method (BEM) ...the solution domain needs to be ...the solution of boundary value problems in ...
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Optimal problem of cost function for the linear neutral systems
... The optimal control problem of this type has been extensively studied by many authors (see [1, 2] and the references therein). In [2], Darkostudied the Laplace trans- form and fundamental solution in (1.1). ...
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An Experimental and Theoretical Study of Freezing of Pure Aluminum
... of solution (solidification front location) has been proved using the characteristics of the functions appeared in ...the fundamental solution, as weighting function in BEM, in finite domain has been ...
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Elastodynamic singular points and their applications
... V The symmetric part of the dynamical Kelvin doublet gives us another fundamental solution which will be called the dynamical stresslet... The corresponding dis-.[r] ...
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A two dimensional inverse heat conduction problem for estimating heat source
... heat fundamental solution for direct problem, and then by choosing the strength of the form of a finite series of shape functions with unknown constant coeffi- cient and applying a linear least-squares ...
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Nonlinear functional integrodifferential equations in Hilbert space
... Abstract. Let X be a Hilbert space and let Ω ⊂ R n be a bounded domain with smooth boundary ∂Ω. We establish the existence and norm estimation of solutions for the parabolic partial functional integro-differential ...
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Boundedness and Exponential Stability of Positive Solutions for Nicholson-type Delay System
... Remark 3.1. In [4], Berezansky et al. established the sufficient conditions for the existence, positiveness and per- manence of solutions of system (6). In [23], Berezansky et al. obtained the explicit conditions on the ...
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Theory and Application of the Generalized Integral Representation Method (GIRM) in Advection Diffusion Problem
... The fundamental solution is defined by the linear differential equation with constant coefficients and plays a key role in obtaining the integral ...
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Advances in Thermal Analysis of Heterogeneous Materials with Hybrid Finite Element Methods
... hybrid fundamental solution based finite element model (FEM) of heat transfer in nonlinear functionally graded materials (FGMs) and composite materials are ...
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BEM-Based Algorithm for URANS Simulations of Flow over a Square Cylinder
... Laplace fundamental solution is used because of the mathematical simplicities of the equations in question, thus more advanced fundamental solutions can be used for the derivation of the integral ...
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Conflicts Between Fundamental Freedoms and Fundamental Rights in the Case Law of the Court of Justice of the European Union – A Comparison with the US Supreme Court Practice
... of fundamental rights, namely the right to take collective action, was set aside in order to foster economic ...other fundamental rights in the practice of both courts (in the EU Omega , Familiapress and ...
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