A Differential Equation is an equation with a function and one or more of its derivatives:Example: an equation with the function y and its derivative dy dx OrderThe Order is the highest derivative (is it a first derivative? a second derivative? etc):...
derivative - the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx derived function, differential, differential coefficient, first derivative curvature - the rate of change (at a point) of the angle between a curve and a tangent to the...
DERIVATIVE PROBLEM FOR QUASILINEAR PARABOLIC EQUATIONS Introduction 1.Maximum estimates 2.Gradient estimates for the conormal problem 3.Gradient bounds for uniformly parabolic problems in general form 4.The H61der gradient estimate for the conormal problem 5.Nonlinear boundary conditions with linear ...
DERIVATIVE. Coming from another; taken from something preceding, secondary; as derivative title, which is that acquired from another person. There is considerable difference between an original and a derivative title. When the acquisition is original, the right thus acquired to the thing becomes prop...
10.Asymptotic Behavior of Solutions of Certain Second Order Integro-differential Equations;二阶非线性积分-微分方程解的有界性 11.Second order Impulsive Integro-Differential Equations with a Derivative in Banach SpacesBanach空间二阶带导脉冲积分-微分方程 ...
Ordinary differential equationSecond derivative methodsCollocation methodsOrder conditionsLinear stabilityWe introduce second derivative two-step collocation methods for the numerical integration of ordinary differential equations. In these methods, the solution of the problem in each step depends on the ...
The advantages of the second-derivative terms were taken in order to derive numerical methods with a high order of accuracy which is stable and suitable for the numerical solution of differential equations. In particular, secondderivative of the differential system gotten from equating the problem ...
The following sections are included:Definition of the wave equationCase of a homogeneous mediumCase of an inhomogeneous mediumDifferential calculus and second-order particular derivativeOperators applied to functions of two variablesOperators and Jacobi coordinatesSpectral study of the wave equationConservation...
A special type of differential equation which is used to calculate derivatives of a function whose order is 2 is called second order derivative. It can be denoted asy",d2y/dx2,y"(x)y",d2y/dx2,y"(x)A second order differential equation with variable coefficients can be written simply as...
process is called anti-differentiation. Let’s find the derivative of a function y = f(x). It is the measure of the rate at which the value of y changes with respect to the change of the variable x. It is known as the derivative of the function “f”, with respect to the ...