In this work we conceive a method of how the Lagrange multiplier modified Variational Iteration Method can be defined from Laplace transform, And use technique to solve both differential equations and FDEs with initial value conditions, With Illustrative examples by applying VIM Ordinary fractional Differential Equations.

The modified Hermitian and skew-Hermitian splitting (MHSS) iteration method and preconditioned MHSS (PMHSS) iteration method were introduced respectively. In the paper, on the basis of the MHSS iteration method, we present a PMHSS iteration method for solving large sparse continuous Sylvester equations with non-Hermitian and complex symmetric positive definite/semi-definite matrices. Under suit...

A generalization of Halpern’s iteration is investigated on a compact convex subset of a smooth Banach space. The modified iteration process consists of a combination of a viscosity term, an external sequence, and a continuous nondecreasing function of a distance of points of an external sequence, which is not necessarily related to the solution of Halpern’s iteration, a contractive mapping, and...

The purpose of this paper is to employ an alternative approach to reconstruct the standard variational iteration algorithm II proposed by He, including Lagrange multiplier, and to give a simpler formulation of Adomian decomposition and modified Adomian decomposition method in terms of newly proposed variational iteration method-II (VIM). Through careful investigation of the earlier variational ...

The paper examines the parallel implementation of iteration type global illumination algorithms. The steps of iteration depend on each other, thus their parallel implementation is not as straightforward as for random walks. This paper solves the interdependency problem by applying stochastic iteration. In this framework two fundamental questions are investigated: how many processors can be eÆci...

In this paper, we examine the intuition that TD( ) is meant to operate by approximating asynchronous value iteration. We note that on the important class of discrete acyclic stochastic tasks, value iteration is ine cient compared with the DAG-SP algorithm, which essentially performs only one sweep instead of many by working backwards from the goal. The question we address in this paper is wheth...