Solving singularly perturbed fredholm integro-differential equation using exact finite difference method. [PDF]
BMC Res Notes, 2023 Objectives In this paper, a numerical scheme is designed for solving singularly perturbed Fredholm integro-differential equation. The scheme is constructed via the exact (non-standard) finite difference method to approximate the differential part and the
Badeye SR, Woldaregay MM, Dinka TG.
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A fitted operator numerical method for singularly perturbed Fredholm integro-differential equation with integral initial condition. [PDF]
BMC Res NotesObjectives In this paper, a uniformly convergent numerical scheme is proposed for solving a singularly perturbed Fredholm integro-differential equation with an integral initial condition.
Oljira AF, Woldaregay MM.
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About a dubious proof of a correct result about closed Newton Cotes error formulas
Open Mathematics, 2023 In this study, we comment about a wrong proof, at least incomplete, of the closed Newton Cotes error formulas for integration in a closed interval [a,b].\left[a,b].
López David J. +4 more
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An application of Hayashi's inequality in numerical integration
Open Mathematics, 2023 This study systematically develops error estimates tailored to a specific set of general quadrature rules that exclusively incorporate first derivatives.
Heilat Ahmed Salem +4 more
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Fractional mathematical modeling of the Stuxnet virus along with an optimal control problem
Ain Shams Engineering Journal, 2023 In this digital, internet-based world, it is not new to face cyber attacks from time to time. A number of heavy viruses have been made by hackers, and they have successfully given big losses to our systems.
Pushpendra Kumar +4 more
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مجلة بغداد للعلوم, 2023 In this work, a joint quadrature for numerical solution of the double integral is presented. This method is based on combining two rules of the same precision level to form a higher level of precision.
Saumya Ranjan Jena +3 more
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Two-Point Quadrature Rules for Riemann–Stieltjes Integrals with Lp–error estimates
Moroccan Journal of Pure and Applied Analysis, 2018 In this work, we construct a new general two-point quadrature rules for the Riemann–Stieltjes integral ∫abf(t) du (t)$\int_a^b {f(t)} \,du\,(t)$, where the integrand f is assumed to be satisfied with the Hölder condition on [a, b] and the integrator u is
Alomari M.W.
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Lp –Error Bounds of Two and Three–Point Quadrature Rules For Riemann–Stieltjes Integrals
Moroccan Journal of Pure and Applied Analysis, 2018 In this work, Lp-error estimates of general two and three point quadrature rules for Riemann-Stieltjes integrals are given. The presented proofs depend on new triangle type inequalities of Riemann-Stieltjes integrals.
Alomari Mohammad W., Guessab Allal
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Adaptive Integration of Convex Functions of One Real Variable
Annales Mathematicae SilesianaeWe present an adaptive method of approximate integration of convex (as well as concave) functions based on a certain refinement of the celebrated Hermite–Hadamard inequality. Numerical experiments are performed and the role of harmonic numbers is shown.
Wąsowicz Szymon
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Efficient α-Dense Curve Strategies for Multiple Integrals over Hyper-rectangle Regions
Annals of the West University of Timisoara: Mathematics and Computer ScienceIn this paper, we propose an approximation technique to compute multiple integrals of a non-negative real continuous function over a hyper-rectangle Ω of ℝn.
Rahal Mohamed, Guettal Djaouida
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