Multielement function calculus, infinite series , ordinary differential equation, partial derivatives, multiple integrals and so on. 本课程主要介绍多元函数微积分学, 无穷极数,常微分方程, 偏微分方程, 多重积分等内容. 来自期刊摘选 20. Sec
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Many models derived from real-life physical situations result in the need to solve a differential equation. To get an understanding of the basics of this enormous topic we begin with the simplest situation: a single first-order ordinary differential equation with a known initial condition. We ...
A differential equation is called a nonlinear differential equation if its degree is not one (a sufficient but unnecessary condition). ? A partial differential equation (PDE) is a differential equation in which the unknown function is a function of multiple independent variables and the equation ...
• A partial differential equation(PDE) is a differential equation in which the unknown function is a function of multiple independent variables and the equation involves its partial derivatives.The order is defined similarly to the case of ordinary differential equations,but further classification into...
Solve a system of several ordinary differential equations in several variables by using the dsolve function, with or without initial conditions. To solve a single differential equation, see Solve Differential Equation. Solve System of Differential Equations Solve this system of linear first-order ...
Interpolation methods to compute statistics of a stochastic partial differential equationThis paper considers the analysis of partial differential equations (PDE) containing multiple random variables. Recently developed collocation methods enable the construction of high-order stochastic solutions by converting a...
An ordinary differential equation (ODE) is a mathematical equation involving a single independent variable and one or more derivatives, while a partial differential equation (PDE) involves multiple independent variables and partial derivatives. ODEs describe the evolution of a system over time, while PD...
This technique is useful for solving simple ODEs with several initial conditions. However, the technique also has some tradeoffs: You cannot solve systems of equations with multiple initial conditions. The technique only works when solving one equation with multiple initial conditions. The time step...
The existence of multiple radial standing wave solutions to (1.3) with prescribedL^2-norm has been faced by Lions in [31] and for the nonlinear Choquard Eq. (1.5) it has been obtained by Ye [57] (see also [11] for the planar logarithmic Choquard equation). We remark that all these ...