The main purpose of this article is to present an approximate solution for the one dimensional wave equation subject to an integral conservation condition in terms of second kind Chebyshev polynomials. The operational matrices of integration and derivation are introduced and utilized to reduce the wave equation and the conditions into the matrix equations which correspond to a system of linear algebraic equations with unknown Chebyshev coefficients. Finally, some examples are presented to illustrate the applicability of the method.

In this paper , we develop a collocation method based on cubic B-spline to the solution of

This study considers an application of differential transform method (DTM) to solving linear and nonlinear eleventh order two-point boundary value problems discussed in [S.S. Siddiqi, G. Akram and I. Zulfiqar. Solution of eleventh order boundary value problems using variational iteration technique. European Journal of Scientific Research. 2009, 30: 505-525]. It is shown that the proposed method yields excellent approximations at minimum computational cost, whereas, variational iteration method is computationally expensive for such problems. Numerical results explicitly reveal the complete reliability and efficiency of the proposed algorithm.

This paper studies the effect of parameter mismatch on the dual-lag synchronization of a class of coupled chaotic systems. Based on the Lyapunov stability theory, a new definition for global dual lag quasi-synchronization is introduced and used to analyze the synchronous behavior of coupled chaotic systems in the presence of parameter mismatch. Numerical simulations on the Ikeda oscillator are presented to verify the theoretical results

This paper presents a comparative analysis of efficient and reliable modern programming approach using quadratic programming (QP) and general algebraic modeling system (GAMS) to solve economic load dispatch (ELD) problem. The proposed methodology easily takes care of different equality and inequality constraints of the power dispatch problem to find optimal solution. To validate the effectiveness of algorithm simulations have been performed over four different cases i.e. Crete Island system of 18 thermal generating units, twenty generating units system with losses, practical Taiwan Power Company (TPC) data which consists of 40 generating unit system and a very large system consisting of 110 generating unit. Results obtained with the proposed method have been compared with other existing relevant approaches available in literatures. Experimental results support the claim of proficiency of the method over other existing techniques in terms of robustness and most importantly its optimal search behavior.

In this paper, a new conjugate conjugate method with sufficient descent property is proposed for the unconstrained optimization problem. An attractive property of the new method is that the descent direction generated by the method always possess the sufficient descent property, and this property is ki . Under mild conditions, the global convergence of independent of the line search used and the choice of the new method is proved.

In this letter, the concept of set-membership filtering (SMF) is extended to the affine projection algorithm with selective regressors (SR-APA), a novel set-membership SR-APA (SM-SR-APA) is established. The proposed algorithm exhibits superior performance with significant reduction in overall computational complexity due to data-selective step size. The usefulness of the proposed algorithms was demonstrated through simulations.

An economic production quantity model with demand dependent unit production cost in fuzzy environment has been developed. Flexibility and reliability consideration are introduced in the production process. The models are developed under fuzzy goal and fuzzy restrictions on budgetary cost. The inventory related costs and other parameters are taken as fuzzy in nature. The problem is solved by parametric geometric programming technique. The model is illustrated through numerical example. The sensitivity analyses of the cost function due to different measures are performed and presented graphically.

In this paper, we propose a new approach to detect salient traffic signs, which is based on visual saliency and auto-generated strokes for image segmentation. The proposed algorithm deals with two tasks on detecting traffic signs: auto-location and auto extraction. Firstly, inspired by recent work of visual saliency detection, we obtain the location of traffic signs in a natural image by multi-scale principle component analysis (MPCA). Secondly, in order to extract traffic signs, auto-generated strokes are used instead of drawing the strokes by the users, the sign board area is extracted using localizing Region-Based Active Contour. Extensive experiments on public datasets show that our approach outperforms state-of-the-art methods remarkably in salient traffic sign detection. Moreover, the proposed detection method has higher accurate rate and robustness to different natural scenes.