[PDF] Top 20 Numerical solution of fuzzy initial value problems under generalized dierentiability by HPM

... exact solution and the approximate solution obtained by HPM at t = 0:1 and t = 0:3 for any r 2 [0; ...exact solution with the approximate ...exact solution and the approximate ... See full document

... solving fuzzy differential equations ( FDEs ) since it is utilized widely for the purpose of modeling problems in science and ...practical problems require the solution of the FDE which ... See full document

... of fuzzy derivative was first introduced by Chang and Zadeh [16], it was followed up by Dubois and Prade [19] who used the extension principle in their ...[21]. Fuzzy differential equations were first ... See full document

... Numerical solution of an FDE is obtained now in a natural way, by extend- ing the existing classical methods to the fuzzy ...Some numerical methods for FDEs under the Hukuhara ... See full document

... of fuzzy derivative was first introduced by ...of fuzzy functions. The fuzzy differential equation and initial value problems were extensively studied by ...on numerical ... See full document

... Proof. As we known, the necessary and sufficient conditions for linear multistep methods to be convergent are that they must be consistent and zero-stable. Then by according to the Lemma 2.1 and Theorem 2.1, any methods ... See full document

... random initial and boundary ...use fuzzy numbers instead of real random variables. The concept of fuzzy derivative was rst introduced by Chang and Zadeh [9], and it was followed up by Dobois and ... See full document

... Time-spectral solution of ordinary and partial differential equations is often regarded as an inefficient ...many numerical operations and high memory ...spectral, generalized weighted residual ... See full document

... a numerical a scheme for solving first fuzzy order differential ...FIVP. Numerical example was provided and the RK65 is a competent and precise ...of numerical solutions generated by ... See full document

... a numerical approach to solve system of fuzzy differential equations with initial ...of fuzzy initial value ...studied. Numerical simulation performs that the new method ... See full document

... The basic idea of application of general Lagrange multiplier and variational calculus was first proposed in 1978 by Inokuti et al [ISM78] in his method to solve nonlinear problems. Ji-Huan He modified the method ... See full document

... solvable initial-boundary value problem. Moreover, the solution can be represented by an explicit formula similar to the solution of the equa- tion (∂ t + I − Δ)u = f over the whole space R ... See full document

... In this paper, a family of stable high order third derivative hybrid LMM for the numerical integration of stiff IVPs in ODEs (1) have been presented. The plot of the boundary locus of the roots of the stability ... See full document

... x nJ+l matrix and r is an nJ+l-vector Employing Euler's method to approximate the differential equation lala, this formulation of the discrete problem becomes This example will be used t[r] ... See full document

... We have implemented the fourth stage of the Inverse Polynomial Scheme which has an advantage over all previously proposed methods of the same order as it is seen in Table II when it was compared with Runge-Kutta method ... See full document

... their numerical simulations are fundamental im- portance in gaining the correct qualitative and quantitative information on the ...systems. Numerical methods based on finite difference approximations, ... See full document

... On the other hand, if boundary information changes too rapidly during the iterations of Equation (5), the it- eration scheme may not lead towards a solution and convergence is endangered. Intuitively, a possible ... See full document

... the fuzzy approx- imate solution of fractional differential equations under uncertainty with Caputo-type derivative based on the generalized Hukuhara differentiability is presented in ...al. ... See full document

... More specifically, we will develop a family of implicit symmetric two–step Obrechkoff methods of twelfth algebraic order. The development of the new family of methods is based on the requirement of the phase–lag and its ... See full document

... A BSTRACT In this paper, we present a new two-step trigonometrically fitted symmetric Obrechkoff method. The method is based on the symmetric two-step Obrechkoff method, with eighth algebraic order, high phase-lag order ... See full document