[PDF] Top 20 STABILITY AND CONVERGENCE FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
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STABILITY AND CONVERGENCE FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
... (1.1)) class of problems, where the partial differential equations depend not only on the values of the solution at the present state u(x, t) (third argument in (6.1) and (1.1)) but also on its ... See full document
49
Analysis of the stability and convergence of a finite difference approximation for stochastic partial differential equations
... Abstract In this paper, an implicit finite difference scheme is proposed for the numerical solu- tion of stochastic partial differential equations (SPDEs) of Itˆ o type. The consistency, stability, and ... See full document
25
Convergence and stability of stochastic parabolic functional differential equations
... This paper is organized as follows. In Sect. 2, we introduce the basic notations and set up the comparison theorem for SPFDEs. In Sect. 3 and Sect. 4, we get our main results on the convergence and ... See full document
12
Existence, uniqueness, and stability of solutions of a class of nonlinear partial differential equations
... L iapunov 1 s Direct Method for stability has the advantage that it does not r equir e any knowledge of the solution except the knowl edge that i t satisfy a certain differential equatio[r] ... See full document
73
On convergence of He’s variational iteration method for nonlinear partial differential equations
... the nonlinear oscillators, all the reviewed schemes produce high approximate periods, but the accuracy of the amplitudes cannot be amelio- rated by ...of nonlinear equations including the Ritz ... See full document
7
Result on the Convergence Behavior of Solutions of Certain System of Third Order Nonlinear Differential Equations
... the convergence of the ...extreme stability of solutions occurs when the difference between two equilibrium positions tends to zero as time increases infinitely is of practical ...to nonlinear ... See full document
11
Accurate Numerical Steady State and Transient One Dimensional Solutions of Semiconductor Devices
... The knowledge of the conditions of convergence and stability of a particular uiscretizat1on scheme ls a problem or fUndamental nature in the numerical solution of partial differential pa[r] ... See full document
421
Convergence of Solutions of Certain Fourth Order Nonlinear Differential Equations
... boundedness, stability, and global asymptotic stability (see, ...of equations only a few were devoted to the convergence of the solutions (see, ... See full document
13
Numerical stationary distribution and its convergence for nonlinear stochastic differential equations
... Stochastic differential equations (SDEs) have been widely used in modelling uncertain phenomena in many areas [18, ...asymptotic stability particularly has been interesting to many ... See full document
28
Stability of highly nonlinear neutral stochastic differential delay equations
... of equations are linear or nonlinear but bounded by linear ...delay-dependent stability criteria for highly nonlinear NSDDEs by the method of Lyapunov ...∞ stability in L p , asymptotic ... See full document
7
Solution of Volterra’s Integro-Differential Equations by Using Variational Iteration Method
... of nonlinear problems with approximations which converge quickly to accurate ...ordinary differential equation [13], to nonlinear partial differential equations with variable ... See full document
9
Ulam Stability for System of Nonlinear Implicit Fractional Differential Equations
... Ulam stability problem in the talk before the Mathematics Club of University of Wisconsin in which he discussed a number of important unsolved ...the stability of functional equations have been ... See full document
10
A. One Dimensional Differential Transform Method
... all partial differential equations occurring in applied mathematics is that associated with the name of ...physics, nonlinear optics, stability of fluid ... See full document
5
On Hyers-Ulam Stability for Nonlinear Differential Equations of nth Order
... the stability of linear differential equation of second order in the sense of the Hyers and Ulam y 00 = ...the stability of nonhomogeneous linear differential equation of second order in the ... See full document
8
A. One Dimensional Differential Transform Method
... a nonlinear function, and f x t ( , ) is a known analytic ...of nonlinear partial differential equations such as the Adomian Decomposition Method (ADM) [4-7], the EXP function method ... See full document
5
Nonlinear Bending Analysis of Sector Graphene Sheet Embedded in Elastic Matrix Based on Nonlocal Continuum Mechanics
... DQM, partial differential equations turn to nonlinear algebraic equations ...of convergence, in this paper, the Newton- Raphson iterative method is used to solve the ... See full document
10
Convergence of solutions for functional integro differential equations with nonlinear boundary conditions
... The aim of this paper is to investigate the problem of the convergence of solutions for Eq. (1.1). By employing the comparison principles and the quasilinearization method, we obtain two monotone sequences of ... See full document
16
Exact Solitary Wave Solutions of the (3+1) Modified B-type Kadomtsev-Petviashvili Family Equations
... the equations considered, are interpreted as quantities which make it possible to characterize the propagation medium or the moving physical ...the nonlinear partial differential ... See full document
8
14. On the stability and instability of functional Volterra integro-differential equations of first order
... exponential stability (ES) and instability (I) of the trivial solution of the former ...the nonlinear generalization and extensions of those found in the ... See full document
10
The Linear, Nonlinear and Partial Differential Equations are not Fractional Order Differential Equations
... any differential equations to fractional order differential equations is valid or ...any differential equations into fractional order differential equations by ... See full document
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