Results 21 to 30 of about 307 (168)
Fractal and Fractional, 2023 We offer a wavelet collocation method for solving the weakly singular integro-differential equations with fractional derivatives (WSIDE). Our approach is based on the reduction of the desired equation to the corresponding Volterra integral equation.
Haifa Bin Jebreen
doaj +1 more source
Pseudospectral Method Based on Müntz–Legendre Wavelets for Solving the Abel Integral Equation
Journal of Mathematics, 2022 This paper deals with the numerical solution of the Abel integral equation based on Müntz–Legendre wavelets. To this end, the Abel integral operator is represented by Müntz–Legendre wavelets as an operational matrix.
Ioannis Dassios +2 more
doaj +1 more source
Asymptotic Solutions of Linear Volterra Integral Equations With Singular Kernels [PDF]
Transactions of the American Mathematical Society, 1974 Volterra integral equations of the form u ′ ( t ) = − ∫ 0 t a ( t − τ ) u ( τ ) d τ , u ( 0 ) = 1 u’(t) = - \smallint _0^ta(
Wong, J. S. W., Wong, R.
openaire +2 more sources
To the solution of one pseudo-Volterra integral equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In this paper, we study a homogeneous singular integral Volterra equation of the second kind (pseudoVolterra integral equation). The singularity of the integral equation is shown. Properties of its kernel are proved.
M.T. Jenaliyev +3 more
doaj +1 more source
Approximation Solution of Fuzzy Singular Volterra Integral Equation by Non-Polynomial Spline
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 A non-polynomial spline (NPS) is an approximation method that relies on the triangular and polynomial parts, so the method has infinite derivatives of the triangular part of the NPS to compensate for the loss of smoothness inherited by the polynomial. In
Zahraa A. Ibrahim, Nabaa N. Hasan
doaj +1 more source
Fredholm and Volterra integral equations with integrable singularities
Hokkaido Mathematical Journal, 2004 The authors present a number of results on the existence of continuous nonnegative solutions \(y\) of the Fredholm equation \[ y(t) = \int_J k(t,s) f(s,y(s))\,ds, \quad t \in J, \tag{F} \] where either \(J = [0,1]\) or \(J = [0,\infty)\), and for the Volterra equation \[ y(t) = \int_0^t k(t,s) f(s,y(s))\,ds, \quad t \in [0,T].
AGARWAL, Ravi P., O'REGAN, Donal
openaire +3 more sources
Boundary Value Problems, 2018 We establish in this paper the equivalence between a Volterra integral equation of the second kind and a singular ordinary differential equation of the third order with two initial conditions and an integral boundary condition, with a real parameter ...
Mahdi Boukrouche, Domingo A. Tarzia
doaj +1 more source
On a New Class of Singular Integro-differential Equations
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper for a new class of model and non-model partial integro-differential equations with singularity in the kernel, we obtained integral representation of family of solutions by aid of arbitrary functions.
T.K. Yuldashev, S.K. Zarifzoda
doaj +1 more source
Numerical Solution of a Free Boundary Problem from Heat Transfer by the Second Kind Chebyshev Wavelets [PDF]
Journal of Sciences, Islamic Republic of Iran, 2019 In this paper we reduce a free boundary problem from heat transfer to a weakly Singular Volterra integral equation of the first kind. Since the first kind integral equation is ill posed, and an appropriate method for such ill posed problems is based on ...
Bahman Babayar-Razlighi
doaj +1 more source
Itô Differential Representation of Singular Stochastic Volterra Integral Equations
Acta Mathematica Scientia, 2020 12 ...
openaire +2 more sources