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Optical soliton and elliptic functions solutions of Sasa-satsuma dynamical equation and its applications

Applied Mathematics(A Journal of Chinese Universities) 2021年第2期36卷 229-242页

作者： Aly R.Seadawy naila nasreen LU Dian-chen Mathematics department Faculty of scienceTaibah UniversityAI-Madinah Al-MunawarahSaudi Arabia Faculty of Science Jiangsu UniversityZhenjiang 212013China

The Sasa-satsuma(SS)dynamical equation interpret propagation of ultra-short and femto-second pulses in optical *** dynamical model has important physical *** this article,two mathematical techniques namely,improved F-expansion and improved aux-iliary methods are utilized to construct the several types of solitons such as dark soliton,bright soliton,periodic soliton,Elliptic function and solitary waves solutions of Sasa-satsuma dynamical *** results have imperative applications in sciences and other fields,and construc-tive to recognize the physical structure of this complex dynamical *** computing work and obtained results show the infuence and effectiveness of current methods.

关键词： Sasa-Satsuma equation improved F-expansion and auxiliary equation methods solitons elliptic function and periodic solutions

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Computing Structured Singular Values for Delay and Polynomial Eigenvalue Problems

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Open Journal of Applied Sciences 2017年第7期7卷 348-364页

作者： Mutti-Ur Rehman Danish Majeed naila nasreen Shabana Tabassum Department of Mathematics and Statistics The University of Lahore Gujrat Campus Gujrat Pakistan Department of Applied Physics Federal Urdu University of Arts Science and Technology Islamabad Pakistan Department of Mathematics COMSATS Institute of Information Technology Islamabad Campus Islamabad Pakistan

In this article the computation of the Structured Singular Values (SSV) for the delay eigenvalue problems and polynomial eigenvalue problems is presented and investigated. The comparison of bounds of SSV with the well... 详细信息

关键词： μ-Values Block Diagonal Uncertainties Spectral Radius Low-Rank Approximation Delay Eigenvalue Problems Polynomial Eigenvalue Problems

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Computer Oriented Numerical Scheme for Solving Engineering Problems

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Computer Systems Science & Engineering 2022年第8期42卷 689-701页

作者： Mudassir Shams naila Rafiq nasreen Kausar Nazir Ahmad Mir Ahmad Alalyani Department of Mathematica and Statistics Riphah International UniversityI-14Islamabad 44000Pakistan Department of Mathematics NUMLIslamabad 44000Pakistan Department of Mathematics Yildiz Technical UniversityFaculty of Arts and ScienceEsenler34210IstanbulTurkey Department of Mathematics Faculty of Science and Arts in ALmandaqAl-Baha UniversityAl-BahaSaudi Arabia

In this study,we construct a family of single root finding method of optimal order four and then generalize this family for estimating of all roots of non-linear equation *** analysis proves that the local order of convergence is four in case of single root finding iterative method and six for simultaneous determination of all roots of non-linear *** non-linear equations are taken from physics,chemistry and engineering to present the performance and efficiency of the newly constructed *** real world applications are taken from fluid mechanics,i.e.,fluid permeability in biogels and biomedical engineering which includes blood Rheology-Model which as an intermediate result give some nonlinear *** non-linear equations are then solved using newly developed simultaneous iterative *** developed simultaneous iterative schemes reach to exact values on initial guessed values within given tolerance,using very less number of function evaluations in each *** convergence order of single root finding method is computed using *** computational order of convergence,CPU-time,absolute residuals errors are calculated to elaborate the efficiency,robustness and authentication of the iterative simultaneous method in its domain.

关键词： Biomedical engineering convergence order iterative method CPU-time simultaneous method

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