Numerical Solution of a Nonlocal Problem Modelling Ohmic Heating of Foods
نویسندگان
چکیده
منابع مشابه
Numerical Solution of a Nonlocal Problem Modelling Ohmic Heating of Foods
Abstract — An upwind and a Lax-Wendroff scheme are introduced for the solution of a one dimensional non-local problem modelling Ohmic heating of Foods. The schemes are studied regarding their consistency, stability and the rate of convergence for the cases that the problem attains a global solution in time. A high resolution scheme is also introduced and it is shown that it is total-variation-s...
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Asymptotic Behavior of a Nonlocal Parabolic Problem in Ohmic Heating Process
In this paper, we consider the asymptotic behavior of the nonlocal parabolic problem ut = ∆u+ λf(u) ( ∫ Ω f(u)dx )p , x ∈ Ω, t > 0, with homogeneous Dirichlet boundary condition, where λ > 0, p > 0, f is nonincreasing. It is found that: (a) For 0 < p ≤ 1, u(x, t) is globally bounded and the unique stationary solution is globally asymptotically stable for any λ > 0; (b) For 1 < p < 2, u(x, t) is...
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We consider the asymptotic behavior of the solution of the non-local parabolic equation ut = (κ (u))rr + (κ (u))r r + f (u) (a+2πb ∫ 1 0 f (u)r dr) 2 , for 0 < r < 1, t > 0, with a homogeneous Dirichlet boundary condition. The equation is the so-called Ohmic-heating model, which comes from thermal electricity in this paper, u and f (u) represent the temperature of the conductor and the electric...
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ژورنال
عنوان ژورنال: Computational Methods in Applied Mathematics
سال: 2009
ISSN: 1609-9389,1609-4840
DOI: 10.2478/cmam-2009-0025