Results 41 to 50 of about 280,356 (187)
Collocation Solutions of a Weakly Singular Volterra Integral Equation
Trends in Computational and Applied Mathematics, 2007 The discrete superconvergence properties of spline collocation solutions for a certain Volterra integral equation with weakly singular kernel are analyzed.
T. Diogo, P. Lima
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On the representation of integers by quadratic forms
, 2006 Let Q be a non-singular quadratic form with integer coefficients. When Q is indefinite we provide new upper bounds for the least non-trivial integral solution to the equation Q=0. When Q is positive definite we provide improved upper bounds for the least
Browning, T. D., Dietmann, R.
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Bernoulli Polynomials Method for Solving Integral Equations with Singular Kernel
مجلة بغداد للعلومThere is always an interest in an effective technique to generate a numerical solution of integral equations with singular or weakly singular kernels more precisely because numerical methods have limitations.
Muna M. Mustafa, Heba A. Abd-Alrazak
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On a singular integral equation with log kernel and its application
International Journal of Mathematics and Mathematical Sciences, 2006 We used function theoretic method to solve a singular integral equation with logarithmic kernel in two disjoint finite intervals where the unknown function satisfying the integral equation may be bounded or unbounded at the nonzero finite endpoints of ...
Sudeshna Banerjea, Chiranjib Sarkar
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On strong singular fractional version of the Sturm–Liouville equation
Boundary Value Problems, 2021 The Sturm–Liouville equation is among the significant differential equations having many applications, and a lot of researchers have studied it. Up to now, different versions of this equation have been reviewed, but one of its most attractive versions is
Mehdi Shabibi +3 more
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Product Integration for Weakly Singular Integral Equations [PDF]
Mathematics of Computation, 1981 The product integration method is used for the numerical solution of weakly singular integral equations of the second kind. These equations often have solutions which have derivative singularities at the endpoints of the range of integration. Therefore, the order of convergence results of de Hoog and Weiss for smooth solutions do not hold in general ...
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Analytical two-center integrals over Slater geminal functions
, 2012 We present analytical formulas for the calculation of the two-center two-electron integrals in the basis of Slater geminals and products of Slater orbitals.
H.-J. Werner +8 more
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The method for calculating singular integrals in problems of axially symmetric Stokes flows
Вісник Харківського національного університету імені В.Н. Каразіна. Серія: Математичне моделювання, інформаційні технології, автоматизовані системи управління, 2019 The flow of a viscous fluid at small Reynolds numbers (Stokes flow) in a three-dimensional formulation is investigated. In this case, the inertial terms in the equations of motion can be neglected. Such flows can occur in nanotubes that can be considered
Roman Palchikov +2 more
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Potentials for the singular elliptic equations and their application
Results in Applied Mathematics, 2020 Potential theory has played a paramount role in both analysis and computation for boundary value problems for elliptic equations. In the middle of the last century, a potential theory was constructed for a two-dimensional elliptic equation with one ...
T.G. Ergashev
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A note on a broken layer in an orthotropic laminate composite [PDF]
An orthotropic laminate composite containing a completely broken layer is considered. The problem is formulated in terms of integral transforms and then reduced to a singular integral equation which is solved numerically.
Arin, K.
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