Results 31 to 40 of about 1,107,761 (293)

Optimal homotopy asymptotic method for solving Volterra integral equation of first kind

open access: yesAlexandria Engineering Journal, 2014
In this paper, authors demonstrate the efficiency of optimal homotopy asymptotic method (OHAM). This is done by solving nonlinear Volterra integral equation of first kind.
N. Khan   +3 more
doaj   +1 more source

Binet's second formula, Hermite's generalization, and two related identities

open access: yesOpen Mathematics, 2023
Legendre was the first to evaluate two well-known integrals involving sines and exponentials. One of these integrals can be used to prove Binet’s second formula for the logarithm of the gamma function.
Boyack Rufus
doaj   +1 more source

A Computational Technique for Solving Three-Dimensional Mixed Volterra–Fredholm Integral Equations

open access: yesFractal and Fractional, 2023
In this article, a novel and efficient approach based on Lucas polynomials is introduced for solving three-dimensional mixed Volterra–Fredholm integral equations for the two types (3D-MVFIEK2).
A. Mahdy   +3 more
semanticscholar   +1 more source

Relation of Some Known Functions in terms of Generalized Meijer G-Functions

open access: yesJournal of Mathematics, 2021
The aim of this paper is to prove some identities in the form of generalized Meijer G-function. We prove the relation of some known functions such as exponential functions, sine and cosine functions, product of exponential and trigonometric functions ...
Syed Ali Haider Shah   +3 more
doaj   +1 more source

A Review of Solo Taxonomy on Students’ Errors in High Mathematical Abilities in Calculating Definite Integral of Trigonometric Functions

open access: yesAl-Jabar : Jurnal Pendidikan Matematika, 2019
The aim of this research is to review students’ error in calculating the definite integral of trigonometric functions using Solo Taxonomy. This research is descriptive qualitative research.
Rosa Mery Christinove, H. L. Mampouw
semanticscholar   +1 more source

A General Approach to Dropout in Quantum Neural Networks

open access: yesAdvanced Quantum Technologies, EarlyView., 2023
Randomly dropping artificial neurons and all their connections in the training phase reduces overfitting issues in classical neural networks, thus improving performances on previously unseen data. The authors introduce different dropout strategies applied to quantum neural networks, learning models based on parametrized quantum circuits.
Francesco Scala   +3 more
wiley   +1 more source

On quadruple integral equations involving trigonometric kernels

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
A general technique is developed for the solution of quadruple integral equations involving trigonometric kernels. Four such sets are solved explicitly. Application is made to the problem of three-collinear cracks in linear plane elasticity.
B. D. Aggarwala
doaj   +1 more source

Opial and Ostrowski type inequalities based on trigonometric and hyperbolic type Taylor formulae

open access: yesMalaya Journal of Matematik, 2023
Based on [4], we produce a collection of interesting trigonometric and hyperbolic Taylor formulae with integral remainders. Using these we derive Opial and Ostrowski type corresponding inequalities of various kinds and norms.
George A. Anastassiou
semanticscholar   +1 more source

Integral Inequalities Involving Strictly Monotone Functions

open access: yesMathematics, 2023
Functional inequalities involving special functions are very useful in mathematical analysis, and several interesting results have been obtained in this topic.
Mohamed Jleli, Bessem Samet
doaj   +1 more source

Numerical Treatment of Mixed Volterra-Fredholm Integral Equations Using Trigonometric Functions and Laguerre Polynomials

open access: yesZanco Journal of Pure and Applied Sciences, 2018
In this paper, numerical solution of linear mixed Volterra-Fredholm integral equations of the second kind by using trigonometric functions and Laguerre polynomials approximation accompanied with the least square technique is presented.
Pakhshan M. Hasan, N. Sulaiman
semanticscholar   +1 more source

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