5 results for “variable step size”

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Research ArticleOpen accessIn the keywordsNumerical Solution of Higher Order Ordinary Differential Equations by Direct Block CodeN. Waeleh, Z. A. Majid, F. Ismail, M. SuleimanProblem statement: This study is concerned with the development of a code based on 2-point block method for solving higher order Initial Value Problems (IVPs) of Ordinary Differential Equations (ODEs) directly. Approach: The block method was developed based on numerical integration and using interpolation approach which is similarly as Adams Moulton type. Furthermore, the proposed method is derived in order … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 3 Feb 2012 · 8,138 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsError Vector Normalized Adaptive Algorithm Applied to Adaptive Noise Canceller and System IdentificationZayed RamadanProblem statement: This study introduced a variable step-size Least Mean-Square (LMS) algorithm in which the step-size is dependent on the Euclidian vector norm of the system output error. The error vector includes the last L values of the error, where L is a parameter to be chosen properly together with other parameters in the proposed algorithm to achieve a trade-off … …American Journal of Engineering and Applied Sciences, Vol. 3, Issue 4 · 5 Nov 2010 · 8,208 accessesView PDF Cite

Research ArticleOpen accessIn the abstractExperimental Evaluation of Adaptive Step-Size Based FxLMS Approach for Active Noise Control in Magnetic Resonance Imaging SystemsI. Juvanna, Uppu Ramachandraiah, G. Muthukumaran et al.Magnetic Resonance Imaging (MRI) scanners emit up to 135 decibels of acoustic noise, which is a major source of discomfort for patients and personnel evaluating them during routine medical scans, necessitating the development of a method to reduce the acoustic noise generated during MRI testing. The goal of this study is to propose a frequency-domain Active Noise Control (ANC) method … …Journal of Computer Science, Vol. 18, Issue 12 · 24 Nov 2022 · 5,503 accessesView PDF Cite

Research ArticleOpen accessIn the abstractA Non-Linear Absolutely-Stable Explicit Numerical Integration Algorithm for Stiff Initial-Value ProblemsEssam R. El-ZaharThe time-step in integration process has two restrictions. The first one is the time step restriction due to accuracy requirement τac and the second one is the time-step restriction due to stability requirement τst. The most of explicit methods have small stability regions and consequently small τst. It obliges us to solve stiff problems with small step size τst << … …American Journal of Applied Sciences, Vol. 10, Issue 11 · 11 Sep 2013 · 7,559 accessesView PDF Cite

Research ArticleOpen accessIn the abstractAn Alternative Scaling Factor In Broyden's Class Methods for Unconstrained OptimizationMuhammad Fauzi bin Embong, Mustafa bin Mamat, Mohd Rivaie, Ismail bin MohdProblem statement: In order to calculate step size, a suitable line search method can be employed. As the step size usually not exact, the error is unavoidable, thus radically affect quasi-Newton method by as little as 0.1 percent of the step size error. Approach: A suitable scaling factor has to be introduced to overcome this inferiority. Self-scaling Variable Metric algorithms … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 2 Jun 2010 · 7,692 accessesView PDF Cite