in this paper, the chebyshev spectral collocation method(cscm) for one-dimensional linear hyperbolic telegraph equation is presented. chebyshev spectral collocation method have become very useful in providing highly accurate solutions to partial differential equations. a straightforward implementation of these methods involves the use of spectral differentiation matrices. firstly, we transform ...

We extend the notion of deformation to inverse operations restrictions completely integrable systems regular or singular locus, and call extended prolongation. show that a prolongability determines uniquely Fuchsian ordinary differential equation rank three with points. This seems similar accessory parameters as function geometric moduli. Relations between prolongations middle convolutions is a...

Neural Ordinary Differential Equations (ODEs) are a promising approach to learn dynamical models from time-series data in science and engineering applications. This work aims at learning neural ODEs for stiff systems, which usually raised chemical kinetic modeling biological systems. We first show the challenges of classical ODE systems Robertson’s problem propose techniques mitigate associated...

In this paper, the variational iteration method for solving nth-order fuzzy integro differential equations (nth-FIDE) is proposed. In fact the problem is changed to the system of ordinary fuzzy integro-differential equations and then fuzzy solution of nth-FIDE is obtained. Some examples show the efficiency of the proposed method.