Electro-spunorganic nanofibers elaboration process investigations using BPs operational matrices
In this paper operational matrix of Bernstein Polynomials (BPs) is used to solve Bratu equation. This nonlinear equation appears in the particular elecotrospun nanofibers fabrication process framework. Elecotrospun organic nanofibers have been used for a large variety of filtration applications such as in non-woven and filtration industries. By using operational matrix of fractional integration and multiplication the investigated equations are turned into set of algebraic equations. Numerical solutions show both accuracy and simplicity of the suggested approach.
in this paper operational matrix of bernstein polynomials (bps) is used to solve bratu equation. this nonlinear equation appears in the particular elecotrospun nanofibers fabrication process framework. elecotrospun organic nanofibers have been used for a large variety of filtration applications such as in non-woven and filtration industries. by using operational matrix of fractional integration...متن کامل
Requirements Engineering involves the elicitation of high-level stakeholder goals and their refinement into operational system requirements. A key difficulty is that stakeholders typically convey their goals indirectly through intuitive narrative-style scenarios of desirable and undesirable system behaviour, whereas goal refinement methods usually require goals to be expressed declaratively usi...متن کامل
We review free fermion, melting crystal, and matrix model representations of wall-crossing phenomena on local, toric Calabi-Yau manifolds. We consider both unrefined and refined BPS counting of closed BPS states involving D2and D0-branes bound to a D6-brane, as well as open BPS states involving open D2-branes ending on an additional D4-brane. Appropriate limit of these constructions provides, a...متن کامل
SOLVING MULTI-TERM ORDERS FRACTIONAL DIFFERENTIAL EQUATIONS BY OPERATIONAL MATRICES OF BPs WITH CONVERGENCE ANALYSIS
In this paper, we present a numerical method for solving a class of fractional differential equations (FDEs). Based on Bernstein Polynomials (BPs) basis, new matrices are utilized to reduce the multi-term orders fractional differential equation to a system of algebraic equations. Convergence analysis is shown by several theorems. Illustrative examples are included to demonstrate the validity an...متن کامل
Approximate Analytical Solution for Nonlinear System of Fractional Differential Equations by BPs Operational Matrices
1 Department of Mathematics, Imam Khomeini International University, P.O. Box 34149-16818, Qazvin, Iran 2Department of Mathematics and Computer Sciences, Cankaya University, 06530 Ankara, Turkey 3 Institute of Space Sciences, P.O. Box MG-23, 077125 Magurele-Bucharest, Romania 4Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Je...متن کامل
The main EEG features are described of thirty-six young adults who were examined at the Royal Free Hospital between 1960 and 1964 and twelve children seen at the Hospital for Sick Children, Great Ormond Street, London, between 1957 and 1977. It is important in the future, if a plan is considered for the study of a fresh epidemic, to include systematic EEG studies covering a period of 2 to 3 yea...متن کامل
دوره 7 شماره 1
صفحات 19- 27
تاریخ انتشار 2016-03-01
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