LAUSR

An APOS analysis of solving systems of equations using the inverse matrix method

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1 Published in 2020 at "Educational Studies in Mathematics"

DOI: 10.1007/s10649-020-09935-6

Abstract: The concept of determinant plays a central role in many linear algebra concepts and is also applied to other branches of mathematics and science. In this study, we focus on the application of determinant and… read more here.

Keywords: equations using; mathematics; solving systems; systems equations ... See more keywords

Expanding the Applicability of the Kantorovich’s Theorem for Solving Generalized Equations Using Newton’s Method

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2 Published in 2017 at "International Journal of Applied and Computational Mathematics"

DOI: 10.1007/s40819-016-0297-x

Abstract: In this paper we consider the Kantorovich’s theorem for solving generalized equations $$F(x)+Q(x) \ni 0$$F(x)+Q(x)∋0 using Newton’s method, where F is a Fréchet differentiable function and Q is a set-valued and maximal monotone function acting… read more here.

Keywords: equations using; generalized equations; theorem solving; kantorovich theorem ... See more keywords

Solving Two-Dimensional Nonlinear Fredholm Integral Equations Using Rationalized Haar Functions in the Complex Plane

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0 Published in 2019 at "International Journal of Applied and Computational Mathematics"

DOI: 10.1007/s40819-019-0631-1

Abstract: As far as we are aware, no research has been published about two-dimensional integral equations in the complex plane by using Haar bases or any other kinds of wavelets. We introduce a numerical method to… read more here.

Keywords: integral equations; fredholm integral; equations using; complex plane ... See more keywords

Compact and unified elasto-plastic formulation to study isotropic plates

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0 Published in 2020 at "International Journal of Non-linear Mechanics"

DOI: 10.1016/j.ijnonlinmec.2019.103253

Abstract: Abstract We introduce a compact and unified shear deformation theory for plates with elasto-plastic behavior. We formulate the kinematics of the two-dimensional structure in a compact and unified manner using the Carrera Unified Formulation. This… read more here.

Keywords: formulation; unified elasto; plastic formulation; equations using ... See more keywords

Solving 2D Poisson-type equations using meshless SPH method

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1 Published in 2019 at "Results in Physics"

DOI: 10.1016/j.rinp.2019.102260

Abstract: Abstract In the present study, 2D Poisson-type equation is solved by a meshless Symmetric Smoothed Particle Hydrodynamics (SSPH) method. The influence of the kernel function, smoothing length and particle discretizations of problem domain on the… read more here.

Keywords: using meshless; type equations; poisson type; solving poisson ... See more keywords

Solving Partial Differential Equations Using Deep Learning and Physical Constraints

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1 Published in 2020 at "Applied Sciences"

DOI: 10.3390/app10175917

Abstract: The various studies of partial differential equations (PDEs) are hot topics of mathematical research. Among them, solving PDEs is a very important and difficult task. Since many partial differential equations do not have analytical solutions,… read more here.

Keywords: equations using; using deep; partial differential; deep learning ... See more keywords

Solving Integral Equations Using Weakly Compatible Mappings via D*-Metric Spaces

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0 Published in 2022 at "Axioms"

DOI: 10.3390/axioms11050189

Abstract: We introduce a new pair of mappings (S,T) on D*-metric spaces called DS*-W.C. and DRS*-W.C. Many examples are presented to show the difference between these mappings and other types of mappings in the literature. Moreover,… read more here.

Keywords: using weakly; weakly compatible; equations using; solving integral ... See more keywords

Fractional View Analysis of Fornberg-Whitham Equations by Using Elzaki Transform

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1 Published in 2022 at "Symmetry"

DOI: 10.3390/sym14102118

Abstract: We present analytical solutions of the Fornberg–Whitham equations with the aid of two well-known methods: Adomian decomposition transform and variational iteration transform involving fractional-order derivatives with the Atangana–Baleanu–Caputo derivative. The Elzaki transformation is used in… read more here.

Keywords: fornberg whitham; equations using; analysis; whitham equations ... See more keywords

Analysis of the Fractional Differential Equations Using Two Different Methods

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1 Published in 2022 at "Symmetry"

DOI: 10.3390/sym15010065

Abstract: Numerical methods play an important role in modern mathematical research, especially studying the symmetry analysis and obtaining the numerical solutions of fractional differential equation. In the current work, we use two numerical schemes to deal… read more here.

Keywords: analysis fractional; equations using; fractional differential; differential equations ... See more keywords