the reaction-diffusion equation with stiff source term: au(1- u). These schemes have the properties that they reduce to high fidelity algorithms in the diffusion- free case namely in which the numerical solutions preserve the properties inherent in the exact solutions for arbitrary time step-size...
Homogeneous Differential Equation are the equations having functions of the same degree. Learn to solve the homogeneous equation of first order with examples at BYJU'S
若未知函数是二元及以上的,那么则是偏微分方程(partial differential equation (PDE) ),如(1.3) 阶order 此外,微分方程的阶(order)定义为方程中出现的最高阶导数的阶数,比如(1.1)是一阶ODE,(1.2)是二阶ODE,(1.3)是二阶PDE 线性与非线性ODE linear vs. nonlinear 一个简单的判断方法是,对于一个线性方程,未知...
First-Order and Second-Order Conditions for Error Bounds For a lower semicontinuous function f on a Banach space X, we study the existence of a positive scalar $\\mu$ such that the distance function dS associated... Zili,Wu,Jane,... - 《Siam Journal on Optimization》 被引量: 102发表:...
First- and second-order Frank-Kamenetskii approximation applied to temperature-, pressure- and stress-dependent rheology Noack L, Breuer D (2013) First- and second-order Frank-Kamenetskii approximation applied to temperature-, pressure- and stress-dependent rheology. Geophys... L Noack,D Breuer ...
Many non-local processes are modeled using mathematical models that include fractional powers of elliptic operators. The approximate solution of stationary problems with fractional powers of operators is most often based on rational approximations introd
列出物理学中三种典型的相变和临界过程答:三种典型的相变和临界过程分别为:一级相变(First-order phase transformation),二级相变(Second-order phase transition),无限相变(infinite-order phase transition)[8](1)一级相变:一级相变涉及到潜热(latent heat)的问题,在一级相变过程中,系统单位体积吸收或放出固定量(...
In fact, we can convert a higher-order ODE all the way down to a first-order ODE. The concepts used from Calculus include the derivatives of a function with respect to the independent variable of the ODE.Answer and Explanation: Given a second-order, differential equation (ODE) ...
Zero‐, First‐, and Second‐Order Theories of a General Thermocouple The thermocouple to be dealt with has two bars of arbitrary shape. Each of the properties of the materials (the thermal resistivity &kgr;, the electrical r... AH Boerdijk - 《Journal of Applied Physics》 被引量: 0...
First and second order unconditionally energy stable schemes for topology optimization based on phase field method We propose the first-and second-order unconditionally energy stable schemes for the evolution of phase field modeling. The linearly stabilized splitting scheme... BLY Yu - 《Applied Mathema...