we are concerned with the development of a k−step method for the numerical solution of fuzzy initial value problems. convergence and stability of the method are also proved in detail. moreover, a specific method of order 4 is found. the numerical results show that the proposed fourth order method is efficient for solving fuzzy differential equations.

in this article, we study the analytical solutions of different parabolic heat equations with different boundaryconditions in the form of multi-term fractional differential equations. then we compare these analytical solutions with numerical finite difference methods. this comparison demonstrates the accuracy of the analytical and numerical methods presented here.

in this paper, we present a numerical algorithm for solving matrix equations $(a otimes b)x = f$  by extending the well-known gaussian elimination for $ax = b$. the proposed algorithm has a high computational efficiency. two numerical examples are provided to show the effectiveness of the proposed algorithm.

let $p(lambda)$ be an $n$-square complex matrix polynomial, and $1 leq k leq n$ be a positive integer. in this paper, some algebraic and geometrical properties of the $k$-numerical range of $p(lambda)$ are investigated. in particular, the relationship between the $k$-numerical range of $p(lambda)$ and the $k$-numerical range of its companion linearization is stated. moreover, the $k$-numerical ...

in this paper, we have proposed a numerical method for singularly perturbed  fourth order ordinary differential equations of convection-diffusion type. the numerical method combines boundary value technique, asymptotic expansion approximation, shooting method and  finite difference method. in order to get a numerical solution for the derivative of the solution, the given interval is divided  in...

This research consists of the mathematical development a three-dimensional (3D) analytical-numerical module that can be installed on vertically-averaged (2DH) numerical models. Designed to combine advantages both 3D and 2DH hydrodynamic models, it simulates wide range coastal natural water bodies free surfaces irregular geometries. Examples include estuaries, rivers, bays, lakes, lagoons. Assum...

in this paper, numerical simulation of frp composite cylinder tubes progressive crushing processes is conducted using ls-dyna. details on the numerical modeling strategy are given and discussed. it is found that triggers introduced in the numerical simulation can effectively model the bevel trigger at the end of the tubular specimens. it is also found that two-layer finite element model based o...

In this study, we propose a numerical scheme for stochastic oscillators with additive noise obtained by the method of variation constants formula using generalized integrators. For both displacement and velocity components, show that has an order 3/2 in one step convergence first overall convergence. Theoretical statements are supported experiments.