Fundamental solution
Fundamental solution of the Laplacian on flat tori and boundary value problems for the planar Poisson equation in rectangles
... The fundamental solution of the Laplacian on flat tori is obtained using Eisenstein’s approach to elliptic functions via infinite series over lattices in the complex ...of solution were known, may thus ...
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Effects of Generalized Fundamental Solution (GFS) on Generalized Integral Representation Method (GIRM)
... the solution is stable and ...the Fundamental Solution (FS) of the original differential equation plays a major role in ...Generalized Fundamental Solution ...
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ON FUNDAMENTAL SOLUTION FOR AUTONOMOUS LINEAR RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS
... where A 0 (ds) = A(−ds), to emphasize the convolution nature of the linear autonomous RFDE (see page 77 of Reference [13]), to highlight the convo- lution composition of the fundamental solution, and to ...
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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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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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BEM-Based Algorithm for URANS Simulations of Flow over a Square Cylinder
... In regard to the velocity-vorticity formulation of the Navier-Stokes equations, boundary conditions for the vorticity transport Eq. (2) need to be supplied. They are obtained from the proper velocity boundary conditions ...
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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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Solution of a Diffusion Problem in a Non-Homogeneous Flow and Diffusion Field by the Integral Representation Method (IRM)
... An integral representation is obtained using a fundamental solution of a differential-type boundary value problem. If the boundary conditions are substituted into the integral representation, an integral ...
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An Experimental and Theoretical Study of Freezing of Pure Aluminum
... the fundamental solution has been obtained for an infinite domain, it can be used for a finite domain provided that it takes the same values on the boundary of domain as they took in the infinite domain on ...
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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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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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Theory and Application of the Generalized Integral Representation Method (GIRM) in Advection Diffusion Problem
... the fundamental solution first and then apply it to obtain the integral ...the fundamental function is chosen first, and the differential equation satisfied by the fundamental solution ...
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Boundedness and Exponential Stability of Positive Solutions for Nicholson-type Delay System
... Abstract—In this paper, we study an Nicholson-type delay system with delays. New criteria for the boundedness and exponential stability of positive solutions of Nicholson-type system with time-varying delays 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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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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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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Title: ENTERPRISE RESOURCE PLANNING ON CLOUD FOR SMALL AND MEDIUM SIZED BUSINESS, s
... Cloud Enterprise Resource Planning normally brings greater performance as compared to on- premise ERP. Cloud ERP is planned from the ground up for highest network performance, which can indicate enhanced application ease ...
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