论文标题
$ p $ -laplacian和内存的一类进化微分方程的数值解决方案
Numerical Solution for a Class of Evolution Differential Equations with $p$-Laplacian and Memory
论文作者
论文摘要
在本文中，我们使用混合有限元方法对$ p $ laplacian进行部分积分微分方程进行了研究。提出了两个稳定和收敛的固定点方案来求解非线性代数系统。使用MATLAB环境中该方法的实现，我们用示例来数值分析收敛性。提出了其他一些示例，以说明解决方案的几种渐近行为和一些定位效应。
In this paper we make a study of a partial integral differential equation with $p$-Laplacian using a mixed finite element method. Two stable and convergent fixed point schemes are proposed to solve the nonlinear algebraic system. Using the implementation of the method in Matlab environment, we numerically analyse the convergence with an example. Some other examples are presented in order to illustrate several asymptotic behaviours and some localization effects of the solutions.
