Results 101 to 110 of about 175,846,736 (289)

A numerical scheme for solutions of a class of nonlinear differential equations

open access: yesJournal of Taibah University for Science, 2017
In this paper, a collocation method based on Bessel functions of the first kind is presented to compute the approximate solutions of a class of high-order nonlinear differential equations under the initial and boundary conditions. First, the matrix forms
Şuayip Yüzbaşı
doaj   +1 more source

Baseline Neuroinflammation Stratifies TSPO‐PET Response to Disease‐Modifying Therapy in Multiple Sclerosis

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To investigate which baseline clinical and imaging characteristics best predict TSPO‐PET‐measurable reduction in glial activation following treatment of multiple sclerosis (MS), to utilize this information for designing more efficient biomarker‐based clinical trials targeting glial activation.
Marlene T. Morch   +5 more
wiley   +1 more source

A new numerical scheme for solving system of Volterra integro-differential equation

open access: yesAlexandria Engineering Journal, 2018
In this article, we apply Genocchi polynomials to solve numerically a system of Volterra integro-differential equations. This is done by approximating functions using Genocchi polynomials and derivatives using Genocchi polynomials operational matrix of ...
Jian Rong Loh, Chang Phang
doaj   +1 more source

Natural Frequencies of Levodopa‐Induced Dyskinesia in Parkinson's Disease

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives Abnormal involuntary movements, known as dyskinesias, are common complications of levodopa treatment in patients with Parkinson's disease and can significantly impair quality of life. The underlying pathophysiology remains unclear, and current therapeutic options are limited.
Ioannis U. Isaias   +3 more
wiley   +1 more source

Solving linear equations with matrix inversion (MathsCasts)

open access: yes, 2011
This screencast solves a system of two equations in two unknowns by first writing the equations in matrix form and then using matrix inversion to find the solution; the general method for finding the inverse of a 2x2 matrix by hand is ...
Vida Weiss
core   +1 more source

A Discrete-Continuous Method of Mechanical System Modelling

open access: yesPolish Maritime Research, 2017
The paper describes a discrete-continuous method of dynamic system modelling. The presented approach is hybrid in its nature, as it combines the advantages of spatial discretization methods with those of continuous system modelling methods.
Hein Rafał
doaj   +1 more source

Integrated PANoptosis Profiling Identifies Immunosuppressive Subtypes and a Prognostic Signature With Functional Validation of MLKL in Glioblastoma

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective The prognosis of glioblastoma (GBM) remains highly unfavorable, largely due to high tumor heterogeneity and an immunosuppressive microenvironment. However, the functional role of PANoptosis in this context is poorly understood. Methods Patients were stratified via K‐means clustering. A risk score model was constructed using prognosis‐
Langfei Tian   +6 more
wiley   +1 more source

Painleve Equations and Orthogonal Polynomials [PDF]

open access: yes, 2016
In this thesis we classify all of the special function solutions to Painleve equations and all their associated equations produced using their Hamiltonian structures.
Smith, James
core  

Determinantal Representations of Solutions and Hermitian Solutions to Some System of Two-Sided Quaternion Matrix Equations

open access: yes, 2018
Within the framework of the theory of quaternion row-column determinants previously introduced by the author, we derive determinantal representations (analogs of Cramer’s rule) of solutions and Hermitian solutions to the system of two-sided quaternion ...
Ivan I. Kyrchei
core   +1 more source

Numerical Solutions of Fractional Integrodifferential Equations of Bratu Type by Using CAS Wavelets

open access: yesJournal of Applied Mathematics, 2013
A numerical method based on the CAS wavelets is presented for the fractional integrodifferential equations of Bratu type. The CAS wavelets operational matrix of fractional order integration is derived.
Mingxu Yi   +3 more
doaj   +1 more source

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