Numerical approximation of distributed order reaction–diffusion equations
نویسندگان
چکیده
منابع مشابه
Numerical approximation based on the Bernouli polynomials for solving Volterra integro-differential equations of high order
In this article, an applied matrix method, which is based on Bernouli Polynomials, has been presented to find approximate solutions of high order Volterra integro-differential equations. Through utilizing this approach, the proposed equations reduce to a system of algebric equations with unknown Bernouli coefficients. A number of numerical illustrations have been solved to assert...
متن کاملNumerical Analysis for Distributed Order Differential Equations,
In this paper we present and analyse a numerical method for the solution of a distributed order differential equation of the general form
متن کاملOn the Numerical Approximation of First-Order Hamilton-Jacobi Equations
We review some methods for the numerical approximation of time dependent and steady first order Hamilton Jacobi equations. Most of the discussion focuses on conformal triangular type meshes but we show how to extend this to the most general meshes. We review some first order monotone schemes and also high order ones specially dedicated to steady problems.
متن کاملNumerical approximation for singular second order differential equations
We consider numerical approximation of solutions of singular second order differential equations. In particular, we study the backward (or implicit) Euler method. We prove results concerning consistency, global error and stability. We show that the global error is linear with respect to the step size. Numerical results are also given, which demonstrate the linear convergence and compare the num...
متن کاملA numerical solution of variable order diusion and wave equations
In this work, we consider variable order difusion and wave equations. The derivative is describedin the Caputo sence of variable order. We use the Genocchi polynomials as basic functions andobtain operational matrices via these polynomials. These matrices and collocation method help usto convert variable order diusion and wave equations to an algebraic system. Some examples aregiven to show the...
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: Journal of Computational and Applied Mathematics
سال: 2015
ISSN: 0377-0427
DOI: 10.1016/j.cam.2014.07.029