a systematic way is presented for the construction of multi-step iterative method with frozen jacobian. the inclusion of an auxiliary function is discussed. the presented analysis shows that how to incorporate auxiliary function in a way that we can keep the order of convergence and computational cost of newton multi-step method. the auxiliary function provides us the way to overcome the singul...

In this paper, we apply the modified variational iteration method (MVIM) for solving heat transfer problems. The proposed modification is made by introducing He’s polynomials in the correction functional. The suggested algorithm is quite efficient and is practically well suited for use in these problems. The proposed iterative scheme finds the solution without any discretization, linearization,...

In this paper, we show strong convergence theorems of modified Ishikawa iteration with errors and modified Halpern iteration with error for relatively nonexpansive mappings in a Banach space. The results extend and improve the corresponding results of Nakajo, Takahashi, Kim, Martinez-Yanes, Xu and some others. Mathematics Subject Classification: 47H09; 47H10

In this paper, we apply the modified variational iteration method for solving the boundary layer problem in unbounded domain. The suggested modification is made by introducing He’s polynomials in the correction functional. The fact that the proposed modified variational iteration method solves nonlinear problems without using Adomian’s polynomials is a clear advantage of this technique over the...

this paper presents a new control scheme for a class of nonlinear systems. in the proposed method, an adaptive neural network observer with rise feedback controller are applied to realize sensorless control scheme. this observer is tuned online and no exact information of nonlinear term of plant is required. so, this characteristic can compensate mismodeling phenomena. also, a new controller ca...

This paper addresses the design of an observer-based fault diagnosis scheme, which is applied to some of the sensors and actuators of a wind turbine benchmark model. The methodology is based on a modified sliding mode observer (SMO) that allows accurate reconstruction of multiple sensor or actuator faults occurring simultaneously. The faults are reconstructed using the equivalent output err...

River segmentation using satellite image contextual information and Bayesian classifier Paria Yousefi, H. A. Jalab, R. W. Ibrahim, N. F. Mohd Noor, M. N. Ayub & A. Gani To cite this article: Paria Yousefi, H. A. Jalab, R. W. Ibrahim, N. F. Mohd Noor, M. N. Ayub & A. Gani (2016) River segmentation using satellite image contextual information and Bayesian classifier, The Imaging Science Journal, ...

In this paper, we implemented the Modified Iteration Perturbation Method (MIPM) for approximating the periodic behavior of a tapered beam. This problem is formulated as a nonlinear ordinary differential equation with linear and nonlinear terms. The solution is quickly convergent and does not need complicated calculations. Comparing the results of the MIPM with the exact solution shows that this...

1Student, Department of Basic Sciences, Isfahan Payame Noor University, Isfahan, Iran 2Assistant Professor, Biosensor Research Center and Department of Physiology, School of Medicine, Isfahan University of Medical Sciences, Isfahan, Iran 3Professor, Department of Physiology, School of Medicine, Isfahan University of Medical Sciences, Isfahan, Iran 4Assistant Professor, Department of Basic Scien...