Solution of contrast structure type for a reaction-diffusion equation with discontinuous reactive term

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Dynamics of a Reaction-diffusion equation with a Discontinuous Nonlinearity

We study the nonlinear dynamics of a reaction-diffusion equation where the nonlinearity presents a discontinuity. We prove the upper semicontinuity of solutions and of the global attractor with respect to smooth approximations of the nonlinear term. We also give a complete description of the set of fixed points and study their stability. Finally, we analyze the existence of heteroclinic connect...

متن کامل

On the construction of analytic solutions for a diffusion-reaction equation with a discontinuous switch mechanism

The existence of waiting times, before boundary motion sets in, for a diffusion-diffusion reaction equation with a discontinuous switch mechanism is demonstrated. Limit cases of the waiting times are discussed in mathematical rigor. Further, analytic solutions for planar and circular wounds are derived. The waiting times as predicted using these analytic solutions are perfectly between the deri...

متن کامل

Identification Problem of Source Term of A Reaction Diffusion Equation

This paper will give the numerical difference scheme with Dirichlet boundary condition, and prove stability and convergence of the difference scheme, final numerical experiment results also confirm effectiveness of the algorithm. KeywordsFractional derivative; Numerical difference scheme; The gradient regularization method.

متن کامل

Cubic spline Numerov type approach for solution of Helmholtz equation

We have developed a three level implicit method for solution of the Helmholtz equation. Using the cubic spline in space and finite difference in time directions. The approach has been modied to drive Numerov type nite difference method. The method yield the tri-diagonal linear system of algebraic equations which can be solved by using a tri-diagonal solver. Stability and error estimation of the...

متن کامل

Discontinuous Galerkin method for an evolution equation with a memory term of positive type

We consider an initial value problem for a class of evolution equations incorporating a memory term with a weakly singular kernel bounded by C(t − s)α−1, where 0 < α < 1. For the time discretization we apply the discontinuous Galerkin method using piecewise polynomials of degree at most q − 1, for q = 1 or 2. For the space discretization we use continuous piecewise-linear finite elements. The d...

متن کامل

ذخیره 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: Discrete & Continuous Dynamical Systems - S

سال: 2020

ISSN: 1937-1179

DOI: 10.3934/dcdss.2020341