Existence and Uniqueness of The Solution of Nonlinear Volterra Fuzzy Integral Equations

Eman A. Hussain; Ayad W. Ali

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Publication Date

Thu Apr 27 2017

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Volume

26

Issue Number

2

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Existence and Uniqueness of The Solution of Nonlinear Volterra Fuzzy Integral Equations

Volterra fuzzy integral equations

Eman A. Hussain

Ayad W. Ali

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In this paper, we proved the existence and uniqueness of the solution of nonlinear Volterra fuzzy integral equations of the second kind.

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Publication Date

Thu Nov 19 2020

Journal Name

Indonesian Journal Of Chemistry

Determination of Eugenol in Personal-Care Products by Dispersive Liquid-Liquid Microextraction Followed by Spectrophotometry Using <i>p</i>-Amino-<i>N,N</i>-dimethylaniline as a Derivatizing Agent

dispersive liquid-liquid microextraction

derivatizing agent

eugenol

p-amino-N

N-dimethylaniline

Bahaa Malik

Omar

Sarmad Bahjat

Keith Edward

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Two simple methods for the determination of eugenol were developed. The first depends on the oxidative coupling of eugenol with p-amino-N,N-dimethylaniline (PADA) in the presence of K3[Fe(CN)6]. A linear regression calibration plot for eugenol was constructed at 600 nm, within a concentration range of 0.25-2.50 μg.mL–1 and a correlation coefficient (r) value of 0.9988. The limits of detection (LOD) and quantitation (LOQ) were 0.086 and 0.284 μg.mL–1, respectively. The second method is based on the dispersive liquid-liquid microextraction of the derivatized oxidative coupling product of eugenol with PADA. Under the optimized extraction procedure, the extracted colored product was determined spectrophotometrically at 618 nm. A l

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Publication Date

Mon Aug 01 2022

Journal Name

Baghdad Science Journal

Accurate Four-Step Hybrid Block Method for Solving Higher-Order Initial Value Problems

Accuracy

Block Method

Convergence

Higher-Order

Initial Value Problems (IVPs)

Ordinary Differential Equations

AMS Group: 65L05

65L06

65L10

Olanegan, O.

Adeyefa, E.

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This paper focuses on developing a self-starting numerical approach that can be used for direct integration of higher-order initial value problems of Ordinary Differential Equations. The method is derived from power series approximation with the resulting equations discretized at the selected grid and off-grid points. The method is applied in a block-by-block approach as a numerical integrator of higher-order initial value problems. The basic properties of the block method are investigated to authenticate its performance and then implemented with some tested experiments to validate the accuracy and convergence of the method.

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