Mathematical and numerical analysis of initial boundary value problem for a linear nonlocal equation

Wrobel Mateusz

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Mathematical and numerical analysis of initial boundary value problem for a linear nonlocal equation

机译：线性非局部方程初边值问题的数学和数值分析

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摘要

We propose and study a numerical scheme for bounded distributional solutions of the initial boundary value problem for the anomalous diffusion equation. partial derivative(t)u + L(mu)u = 0 in a bounded domain supplemented with inhomogeneous boundary conditions. Here L-mu is a class of nonlocal operators including fractional Laplacian. (C) 2019 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

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《Mathematics and computers in simulation》 |2019年第12期|113-125|共13页
作者
Wrobel Mateusz;
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作者单位

Uniwersytet Opolski Opole Poland;

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原文格式 PDF
正文语种 eng
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关键词
Fractional Laplacian; Numerical method; Anomalous diffusion equation; Boundary value problem;

机译：小数拉普拉斯算子;数值方法;异常扩散方程;边值问题;

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专利

1. Mathematical and numerical analysis of initial boundary value problem for a linear nonlocal equation [J] . Wrobel Mateusz Mathematics and computers in simulation . 2019,第Deca期

机译：线性非局部方程初边值问题的数学和数值分析
2. On Global Existence of Solutions of Initial Boundary Value Problem for a System of Semilinear Parabolic Equations with Nonlinear Nonlocal Neumann Boundary Conditions [J] . Gladkova A. L., Nikitin A. I. Differential equations: A translation of differensial'nye uraveniya . 2018,第1期

机译：非线性非局部Neumann边界条件下半线性抛物线方程系统初值问题解决方案的全局存在
3. Initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal boundary condition* [J] . Gladkov Alexander Lithuanian mathematical journal . 2017,第4期

机译：具有吸收和非线性非局部边界条件的半线性抛物线方程的初始边值问题*
4. Representation of solutions of initial boundary value problems for nonlinear equations of mathematical physics by special series [C] . M. Yu. Filimonov International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences . 2018

机译：特殊系列数学物理非线性方程初立边值问题解
5. Uniform estimates for the Zakharov system and the initial-boundary value problem for the Korteweg-de Vries and nonlinear Schroedinger equations. [D] . Holmer, Justin Alexander. 2004

机译：Zakharov系统的统一估计以及Korteweg-de Vries和非线性Schroedinger方程的初边值问题。
6. A Numerical Method for Solving the 3D Unsteady Incompressible Navier-Stokes Equations in Curvilinear Domains with Complex Immersed Boundaries [O] . Liang Ge, Fotis Sotiropoulos -1

机译：具有复杂浸入边界的曲线域中求解3D非稳态不可压缩Navier-Stokes方程的数值方法
7. Initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal boundary condition [O] . Gladkov, Alexander 2016

机译：一类半线性抛物方程的初边值问题吸收和非线性非局部边界条件
8. Numerical Analysis and Computation of Nonlinear Partial Differential Equationsfrom Applied Mathematics [R] . French, D. A. 1993

机译：应用数学非线性偏微分方程的数值分析与计算

Mathematical and numerical analysis of initial boundary value problem for a linear nonlocal equation

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