Numerical Approximations for a Nonlocal Evolution Equation
نویسندگان
چکیده
منابع مشابه
Numerical Approximations for a Nonlocal Evolution Equation
In this paper we study numerical approximations of the nonlocal p−Laplacian type diffusion equation, ut(t, x) = ∫ Ω J(x− y)|u(t, y)− u(t, x)|p−2(u(t, y)− u(t, x)) dy. First, we find that a semidiscretization in space of this problem gives rise to an ODE system whose solutions converge uniformly to the continuous one as the mesh size goes to zero. Moreover, the semidiscrete approximation shares ...
متن کاملNumerical Analysis for a Nonlocal Allen-cahn Equation
is the Allen-Cahn equation: ut = 4u(x)− f(u) (5) As mentioned in [3], the equations (1) and (5) are important for modelling a variety of physical and biological phenomena involving media with properties varying in space. There is by now a lot of work on equation (1) and (5) (see for example [1], [2], [5], [7], [8], [9], [11], [12], [13], [15], [16], [17], and the references therein). To the bes...
متن کاملNumerical Solution for Parabolic Equation with Nonlocal Conditions
In this paper, we study a parabolic equation with purely nonlocal (integral) conditions. We present a numerical approximate solution by Laplace transform method. Some experimental numerical results using the proposed numerical procedure are discussed.
متن کاملComplex Fuzzy Evolution Equation with Nonlocal Conditions
The objective of this paper is to study the existence and uniqueness of Mild solutions for a complex fuzzy evolution equation with nonlocal conditions that accommodates the notion of fuzzy sets defined by complex-valued membership functions. We first propose definition of complex fuzzy strongly continuous semigroups. We then give existence and uniqueness result relevant to the complex fuzzy evo...
متن کاملNumerical solution of nonlinear elliptic equation with nonlocal condition ∗
Regimantas Čiupaila, Mifodijus Sapagovas, Olga Štikonienė Vilnius Gediminas Technical University Saulėtekio ave. 11, LT-10223 Vilnius, Lithuania [email protected] Institute of Mathematics and Informatics, Vilnius University Akademijos str. 4, LT-08663 Vilnius, Lithuania [email protected] Vilnius University Naugarduko str. 24, LT-03225 Vilnius, Lithuania olga.stikoniene@mif...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2011
ISSN: 0036-1429,1095-7170
DOI: 10.1137/110823559