diffusion problem
COMBINING GENETIC ALGORITHM AND SINC-GALERKIN METHOD FOR SOLVING AN INVERSE DIFFUSION PROBLEM
... The plan of this paper is as follows. In section 2, we formulate an inverse diffusion prob- lem. Section 3 contains four subsections and outlines some of the main properties of sinc functions and sinc method that ...
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Greenʼs function estimates for a singularly perturbed convection–diffusion problem
... Our analysis in this paper resembles those in [15, Section 3], [4, Section 3] in that, roughly speaking, we freeze the coefficients and estimate the corresponding explicit Green’s function for a constant-coefficient ...
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Application of Special Functions in One Dimensional Advective Diffusion Problem
... [6] H. Kumar and P.S.Y. Satyarth. Application of Generalized Polynomials of Several Variables and Multivariable H- Function in one Dimensional Advective Diffusion Problem. Bull. Pure. Appl. Math. Vol 4, no ...
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An Upwind Finite Volume Element Method for Nonlinear Convection Diffusion Problem
... convection-dominated diffusion problem, it produces numerical diffusion and oscillation near the discontinu- ous domain, making numerical simulation ...
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A modified kernel method for a time fractional inverse diffusion problem
... value problem and initial boundary for time-fractional diffusion equation have been studied extensively in the past few years ...ill-posed problem of the fractional diffusion equation, which means the ...
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A singularly perturbed semilinear reaction-diffusion problem in a polygonal domain
... asymptotic expansion for u is constructed that involves boundary and corner layer functions. By perturbing this asymptotic expansion, we obtain certain sub- and super-solutions and thus show the existence of a solution u ...
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A generalized thermoelastic diffusion problem for an infinitely long solid cylinder
... The theory of generalized thermoelastic diffusion, based on the theory of Lord and Shul- man, is used to study the thermoelastic-diffusion interactions in an infinitely long solid cylinder subjected to a thermal shock on ...
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A note on well posedness of semilinear reaction diffusion problem with singular initial data
... of diffusion-induced blow-up challenge an intuitive preconception that diffusion tends to ‘make things better’ and ‘smooth the ...Thus diffusion-induced blow-up is not possible for scalar ...the ...
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Artificial boundary condition for a modified fractional diffusion problem
... Unlike the pure diffusion equation, here, because of the fractional derivative, the stan- dard way of proving the uniqueness does not work. The main problem is a sign issue. Fortunately, the kernels in the ...
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Solution of a Diffusion Problem in a Non-Homogeneous Flow and Diffusion Field by the Integral Representation Method (IRM)
... Furthermore, we developed a generalized integral representation method (GIRM). The integral representation based on the primary space-differentiation operator discussed above is one of the generalized integral ...
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Adaptive Finite Element Method for Steady Convection Diffusion Equation
... The paper is organized as follows. In Section 2 we recall the convection-diffusion problem under considera- tion and the Streamline Diffusion Finite Element Method. In Section 3 we define a ...
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Homotopy Perturbation Method for Solving Highly Nonlinear Reaction-Diffusion-Convection Problem
... Abstract An elegant and powerful technique is Homotopy Perturbation Method (HPM) to solve linear and nonlinear partial differential equations. Using the initial conditions this method provides an analytical or exact ...
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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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Culture, Diffusion, and Economic Development: The Problem of Observational Equivalence
... This literature has focused mainly on the direct effects of culture on development, i.e. how having a certain absolute level of a cultural trait affects economic development. Thus, for example, analyzing whether being ...
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On an initial inverse problem for a diffusion equation with a conformable derivative
... inverse problem for a diffusion equation with a conformable derivative in a general bounded ...backward problem is ill-posed, and we propose a regularizing scheme using a fractional Landweber regularization ...
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Blow up solutions to the Cauchy problem of a fractional reaction diffusion system
... When β = the problem (.) goes back to the problem (.), the fundamental work was given by Escobedo and Herrero [, ]; Uda [] gave a sufficient condition for blow- up of all positive solutions. There ...
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Sturm Liouville problem and numerical method of fractional diffusion equation on fractals
... This paper is organized as follows. In the second part, we deal with the singular Sturm- Liouville problem. In the third part, we discuss the numerical method, which contains a stability and convergence analysis; ...
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Double obstacle phase field approach to an inverse problem for a discontinuous diffusion coefficient
... model problem is an example of the identification of a coefficient in an elliptic ...This problem arises in many ...model problem y is the pressure or hydraulic head associated with a fluid (for ...
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Analytical solution and numerical simulation of advection-diffusion equation related to fumigation problem
... Another example o f transport phenomena also can be found in fabric manufacturing industry. In order to get the desired colour to dye the fabric, the concentrated colour dye is poured into a solvent. The mixing reaction ...
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Stochastic Target Problem With Jump Diffusion.
... target problem with convex analysis and martingale approach can be found in Cvitanic and Karatzas 1993 ...target problem - large investor model with nonlinear stock price process ...
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