HIDDEN REGULARITY FOR A STRONGLY NON LINEAR WAVE EQUATION

Differential Transform Method to two-dimensional non-linear wave equation

In this paper, an analytic solution is presented using differential transform method (DTM) for a class of wave equation. The emphasis is on the nonlinear two-dimensional wave equation. The procedures introduced in this paper are in recursive forms which can be used to obtain the closed form of the solutions, if they are required. The method is tested on various examples, and the results reveal ...

Iterative methods for solving non linear Fokker-Planck equation

Convergence of Lindstedt Series for the Non Linear Wave Equation

a new type-ii fuzzy logic based controller for non-linear dynamical systems with application to 3-psp parallel robot

abstract type-ii fuzzy logic has shown its superiority over traditional fuzzy logic when dealing with uncertainty. type-ii fuzzy logic controllers are however newer and more promising approaches that have been recently applied to various fields due to their significant contribution especially when the noise (as an important instance of uncertainty) emerges. during the design of type- i fuz...

Hölder regularity for a non-linear parabolic equation driven by space-time white noise

Abstract. We consider the non-linear equation Tu+∂tu−∂ xπ(u) = ξ driven by space-time white noise ξ, which is uniformly parabolic because we assume that π′ is bounded away from zero and infinity. Under the further assumption of Lipschitz continuity of π′ we show that the stationary solution is — as for the linear case — almost surely Hölder continuous with exponent α for any α < 1 2 w. r. t. th...