[PDF] Top 20 Numerical solution of the first order linear fuzzy differential equations using He$’$s variational iteration method

... Knowledge about dynamical systems modelled by differen- tial equations is often incomplete or vague. It concerns, for example, parameter values, functional relationships, or initial conditions. The well-known ... See full document

... years fuzzy differential equations leads a natural way to model dynamical systems under ...uncertainty.First order linear fuzzy differential equations are one of ... See full document

... ordinary differential equations, Partial differential equations, Linear Ordinary Differential Equations of Higher Order and integral ...higher order ... See full document

... the solution of the linear problems can be deter- mined in a single iteration ...of differential equations helps in understanding the varia- tional iteration ... See full document

... of variational it- eration method by allowing the general Lagrange multiplier defined in the context of the variational iteration method [9] to change in each ... See full document

... presenting numerical solutions of first order differential equations arising in various applications of science and engineering using some classical numerical ...contain ... See full document

... STWS method has been adopted to solve the linear systems of fuzzy ...The numerical outcome had been compared with exact ...for linear systems of fuzzy IVPs of any order ... See full document

... approximate solution of both linear and non-linear first order ordinary initial value problems which occur most often in ...approximate solution tend to the exact ... See full document

... presenting numerical solutions of first order differential equations arising in various applications of science and engineering using some classical numerical ...contain ... See full document

... Single Term Walsh Series (STWS) technique was introduced by Rao et al. [21]. Balachandran and Murugesan[6, 7] have applied STWS technique to solve first order system of IVPs. Murugesan and Paul ... See full document

... 3. Numerical Solutions of a Fuzzy Initial Value Problem Consider the first order Fuzzy Initial Value Problem ...a fuzzy function of ; ( , ( )) is a fuzzy function of a ... See full document

... Definition 2.1. A mapping T : E → E is called isotone or monotone nondecreasing if it preserves the order relation , that is, if x y implies T x T y for all x, y ∈ E. Similarly, T is called monotone nonincreasing ... See full document

... The solution of nonlinear problems by analytic techniques is often rather dicult ...the numerical solutions of tenth-order boundary value problems and associated eigenvalue problems, is ...developed ... See full document

... second order differential equations describing the transport and kinetics of the enzyme and the mediator in the diffusion layer of the electrode are ... See full document

... the first-order differential equations by Pakdemirli et ...Multiple iteration algorithms can be equated by taking various number of terms in the pertur- bation expansions and different ... See full document

... the numerical solutions of the Jerk equation, har- monic balance approach to periodic solutions is used in [3], in [4] they have written the high-order ordinary differential equation in terms of its ... See full document

... defines fuzzy number as in ...a fuzzy process and its  - level set is denoted by   z   t    z  t , y , z   , z t , y , z   , t  I, 0 <   ... See full document

... the numerical method to solve nth-FIDE is ...mentioned method VIM is brought by solving some numerical examples and finally the results are compared with exact ... See full document

... Volterra fuzzy integro-differential equations, our solutions of the variational iteration method and the demonstration are given in ...the numerical variational ... See full document

... various numerical and analytical methods to solve such problems, for example, the homotopy perturbation method [3], the Adomian decomposition method [4], but each method limits to a special ... See full document