Solving frontier problems modelled by nonlinear partial differential equations We present a further development of the decomposition method [1,2], which leads to a single efficient and global method of solving linear or nonlinear, ordinary or partial differential equations for initial-value or boundary...
chapter1 Introductionofdifferentialequations 1-1DifferentialEquationsinSciencesandEngineering 1、微分方程(differentialequations):含有导数（derivatives)或者微分（differential）的方程。注：a、微分方程(differentialequations)与代数方程(algebraicequation区别：derivativesordifferentialb、微分方程中未知函数的导数或微分必不可...
How do you determine if a differential equation is linear or nonlinear? Which of the following functions is a solution to the differential equation -7y' + 21x^{2} = 0? a) y = (x - 4)^{2} b) y = x^{3} + 4 c) y = -7x^{3} + x d) y = x^{2} - 7 e) y = -21...
Noun1.differential equation- an equation containing differentials of a function equation- a mathematical statement that two expressions are equal Maxwell's equations- four differential equations that summarize classical properties of electromagnetic fields ...
Cullen Exercise1.1 InProblems1–8statetheorderofthegivenordinarydifferentialequation.Determinewhether theequationislinearornonlinear. 1. 1 4 5 cos Adifferentialequationislinearifitisintheform ⋯ . Ifwecomparegivendifferentialequationwiththestandardformalineardifferential equation,weseethatitislinear. 2. 0 ...
A new method for constructing exact solutions to nonlinear delay partial differential equations from additional functional constraints (which are difference or functional equations) and the original delay partial differential equation. All of the equa... AD Polyanin,† - 《Eprint Arxiv》 被引量:...
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...
Application of He's semi-inverse method to the nonlinear Schrdinger equation which is the same as Debnath's result [L. Debnath, Nonlinear Partial Differential Equations for Scientists and Engineers, Birkhauser, Boston, 1997], confir... Turgut zi,A Y?Ld?R?M - 《Computers & Mathematics with ...
Differential equations and linear algebra are two crucial subjects in science and engineering. This video series develops those subjects both seperately and together and supplements Gil Strang's textbook on this subject.
Mahomed, F. M.Leach, P. G.L.Taylor & Francis GroupQuaestiones MathematicaeMahomed, F M and Leach, P G L. 1985 . The Linear Symmetries of a Nonlinear Differential Equation. Quaestiones Mathematicae , 8: 241–274. [Taylor & Francis Online]...