requires the development of new algorithms, which are introduced in this paper. This work develops fast and adaptive algorithms for numerically solving nonlinear partial differential equations of the form ut 5 Any wavelet-expansion approach to solving differential Lu 1 N f (u), where L and N are linear differential operators and equations is essentially a projection method. In a projection f (u...

In this paper, some meshless methods based on the local Newton basis functions are used to solve some time dependent partial differential equations. For stability reasons, used variably scaled radial kernels for constructing Newton basis functions. In continuation, with considering presented basis functions as trial functions, approximated solution functions in the event of spatial variable wit...

semilinear stochastic evolution equations with multiplicative l'evy noise are considered‎. ‎the drift term is assumed to be monotone nonlinear and with linear growth‎. ‎unlike other similar works‎, ‎we do not impose coercivity conditions on coefficients‎. ‎we establish the continuous dependence of the mild solution with respect to initial conditions and also on coefficients. ‎as corollaries of ...