Daud AhmadUniversity of the Punjab | PU · Department of Mathematics
Daud Ahmad
Ph. D.
About
31
Publications
2,916
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217
Citations
Introduction
Additional affiliations
April 2004 - present
December 1998 - August 2003
Government College University, Lahore, Pakistan.
Position
- Lecturer
December 1995 - August 1997
University of Engineering and Technology, Taxila, Pakistan.
Position
- Teaching and Research Assciate
Publications
Publications (31)
In this paper, we examine q-Bernstein-Bézier surfaces in Minkowski space-R 1 3 with q as the shape parameter. These surfaces, a generalization of Bézier surfaces, have applications in mathematics, computer-aided geometric design, and computer graphics for the surface formation and modeling. We analyze the timelike and spacelike cases of q-Bernstein...
The article explores the dynamics and stability of compact stars in the field of f(R) gravity by investigating the empirical data of different significant compact star candidates. We used the corrections offered by Karmarkar and Tolman to examine the properties of these specific compact stars. For different values of the curvature term, we analysed...
In this paper, we investigate the properties of timelike and spacelike shifted-knots Bézier surfaces in Minkowski space- E 1 3 . These surfaces are commonly used in mathematical models for surface formation in computer science for computer-aided geometric design and computer graphics, as well as in other fields of mathematics. Our objective is to a...
Materials made of graphyne, graphyne oxide, and graphyne quantum dots have drawn a lot of interest due to their potential uses in medicinal nanotechnology. Their remarkable physical, chemical, and mechanical qualities, which make them very desirable for a variety of prospective purposes in this area, are mostly to blame for this. In the subject of...
In the fields of numerical analysis and applied science, approximating the roots of nonlinear equations is a fundamental and intriguing challenge. With the rapid advancement of computing power, solving nonlinear equations using numerical techniques has become increasingly important.Numerical methods for nonlinear equations play a critical role in m...
The idea of this paper is to look some anisotropic star models in a metric approach, where R is the Ricci scalar. The Karmarkar and Tolman system is used to analyze the physics of some spherically symmetric stars using two independent computational gravitational theories. The behavior of structural factors is evaluated using diagrams, and the feasi...
A Coons patch is characterized by a finite set of boundary curves, which are dependent on the choice of blending functions. For a bicubically blended Coons patch (BBCP), the Hermite cubic polynomials (interpolants) are used as blending functions. A BBCP comprises information about its four corner points, including the curvature represented by eight...
The purpose of this study is to highlight the shallow water wave patterns along the ocean shore or in lakes with the higher-order Boussinesq–Burgers system possessing a fractional derivative operator. A generic fractional transformation is used, which turns the proposed model into an nonlinear ordinary differential equations (NLODEs) system. For th...
Every real-world physical phenomena is inherently based on uncertainty and vagueness. There is a frequent need of a useful tool that can handle the uncertainty, solve and explain the results one encounters in the world of vagueness. Pythagorean fuzzy set introduced by Yager may model the uncertainty with its membership and non-membership grades, ef...
The concept of the cubic intuitionistic fuzzy set is an effective hybrid model for modeling uncertainties with an intuitionistic fuzzy set and an interval-valued intuitionistic fuzzy set, simultaneously. The primary objective of this study is to develop a topological structure on cubic intuitionistic fuzzy sets with P-order and R-order as well as t...
Lie symmetry analysis (LSA) is one of the most common, effective, and estimation-free methods to find the symmetries and solutions of the differential equations (DEs) by following an algorithm. This analysis leads to reduce the order of partial differential equations (PDEs). Many physical problems are converted into non-linear DEs and these DEs or...
The goal of this study is to investigate various anisotropic spherical distribution of cosmic bodies in f(R) gravity, where R is the Ricci scalar. Utilizing three separate mathematical gravity models, Karmarkar and Tolman ansatz is taken to explore the nature of certain compact objects. Graphs are used to evaluate the behavior of structural paramet...
A computational model is presented to find the q -Bernstein quasi-minimal Bézier surfaces as the extremal of Dirichlet functional, and the Bézier surfaces are used quite frequently in the literature of computer science for computer graphics and the related disciplines. The recent work [1–5] on q -Bernstein–Bézier surfaces leads the way to the new g...
A hesitant fuzzy set (HFS) and a cubic set (CS) are two independent approaches to deal with hesitancy and vagueness simultaneously. An HFS assigns an essential hesitant grade to each object in the universe, whereas a CS deals with uncertain information in terms of fuzzy sets as well as interval-valued fuzzy sets. A cubic hesitant fuzzy set (CHFS) i...
In this paper, we consider rotationally symmetric traingular planar network with possible planar symmetries. We find local fractional metric dimension of planar symmetries. The objective is to search sequences of local fractional metric dimension of triangular prism planar networks by joining different copies. We propose and prove generalized formula...
A numerical investigation of three-dimensional hybrid nanomaterial micropolar fluid flow across an exponentially stretched sheet is performed. Recognized similarity transformations are adopted to convert governing equations from PDEs into the set ODEs. The dimensionless system is settled by the operating numerical approach bvp4c. The impacts of the...
In this article different state of art palm print recognition techniques have been discussed. Furthermore, various aspects of palm print recognition methodologies pertaining to feature extraction and representation are elaborated. Various researchers have developed and used diverse databases for the purpose of experimentation and probing their meth...
In computer science, the algorithms related to geometry can be exploited in computer aided geometric design, a field in computational geometry. Bézier surfaces are restricted class of surfaces used in computer science, computer graphics and the allied disciplines of science. In this work, a computational approach for finding the Béziersurface relat...
Fuzzy models are present everywhere from natural to artificial structures, embodying the dynamic processes in physical, biological, and social systems. As real-life problems are often uncertain on account of inconsistent and indeterminate information, it seems very demanding for an expert to solve those problems using a fuzzy model. In this regard,...
This study proposes a Pade´approximation based hybrid mesh free framework for numerical solutions of nonlinear partial differential equations. The proposed framework involves three novel aspects. Firstly, the conjunction of Pade´approximation based residual functional and penalty function approach for handling boundary/Initial conditions is employe...
The Plateau-Bézier problem with shifted knots is to find the surface of minimal area amongst all the Bézier surfaces with shifted knots spanned by the admitted boundary. Instead of variational minimization of usual area functional, the quasi-minimal Bézier surface with shifted knots is obtained as the solution of variational minimization of Dirichl...
In a paper, Calkin et al., Divisibility properties of the 5-regular and 13-regular partition functions, Integers 8 (2008), [#A60], authors have discussed interesting properties for 5-regular partition functions of integers. In the continuation of this paper, we have obtained and conjectured various interesting results. In this note, we use nothing...
Toric B\'ezier patches generalize the classical tensor-product triangular and rectangular B\'ezier surfaces, extensively used in $CAGD$. The construction of toric B\'ezier surfaces corresponding to multi-sided convex hulls for known boundary mass-points with integer coordinates (in particular for trapezoidal and hexagonal convex hulls) is given. Fo...
The homotheties of spherically symmetric space-time admitting G4 , G6 , and G10 as maximal isometry groups are already known, whereas, for the space-time admitting G3 as isometry groups, the solution in the form of differential constraints on metric coefficients requires further classification. For a class of spherically symmetric space-time admitt...
We decrease the rms mean curvature and area of a variable surface with a fixed boundary by iterating a few times through a curvature-based variational algorithm. For a boundary with a known minimal surface, starting with a deliberately chosen non-minimal surface, we achieve up to 65 percent of the total possible decrease in area. When we apply our...
In this paper we present an algorithm to reduce the area of a surface spanned
by a finite number of boundary curves by initiating a variational improvement
in the surface. The ansatz we suggest consists of original surface plus a
variational parameter t multiplying the numerator H_0 of mean curvature
function defined over the surface. We apply this...
We decrease the $rms$ mean curvature and area of a variable surface with a
fixed boundary by iterating a few times through a curvature-based variational
algorithm. For a boundary with a known minimal surface, starting with a
deliberately chosen non-minimal surface, we achieve up to 65 percent of the
total possible decrease in area. When we apply ou...
In surface modeling a surface frequently encountered is a Coons patch that is defined only for a boundary composed of four analytical curves. In this paper we extend the range of applicability of a Coons patch by telling how to write it for a boundary composed of an arbitrary number of boundary curves. We partition the curves in a clear and natural...
The homotheties of spherically symmetric space–times admitting maximal isometry groups larger than SO(3) are found along with their metrics, using the homothety equations and without imposing any restriction on the stress-energy tensor. It turns out that there are either 11 or 7 or 5 homotheties. For the space–times with SO(3) as a maximal group, s...
Questions
Question (1)
The Weierstrass-Enneper Parameterization for minimal surfaces gives minimal surfaces in terms of complex holomorphic functions. The vanishing condition of gradient of Dirichlet functional gives algebraic constraints on interior control points of a Bezier surface yielding a quasi-minimal surface. For these quasi-minimal surfaces the mean curvature is not zero and they not isothermal. Can we talk about implication of Weierstrass Enneper representation for such quasi-minimal surfaces?
