Spline approximation to the solution of the Volterra integral equation of the second kind [PDF]
Mathematics of Computation, 1973 A cubic spline approximation in C 2 {C^2}
Arun N. Netravali
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Fredholm-Volterra integral equation with potential kernel
International Journal of Mathematics and Mathematical Sciences, 2001 A method is used to solve the Fredholm-Volterra integral equation of the first kind in the space L2(Ω)×C(0,T), Ω={(x,y):x2+y2≤a}, z=0, and ...
M. A. Abdou, A. A. El-Bary
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A Fixed Point Approach to the Stability of a Volterra Integral Equation [PDF]
Fixed Point Theory and Applications, 2007 We will apply the fixed point method for proving the Hyers-Ulam-Rassias stability of a Volterra integral equation of the second kind.
Soon-Mo Jung
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Mixed type of Fredholm-Volterra integral equation [PDF]
Le Matematiche, 2005 In this paper, under certain conditions, the solution of mixed type of Fredholm-Volterra integral equation is discussed and obtained in the space L_2 (−1, 1) × C[0, T ], T < ∞.
M. A. Abdou, G. M. Abd Al-Kader
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Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations [PDF]
, 2013 We analyze the blow-up behavior of one-parameter collocation solutions for Hammerstein-type Volterra integral equations (VIEs) whose solutions may blow up in finite time.
Brunner, Hermann, Yang, Z.W.
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COLLOCATION METHOD FOR FUZZY VOLTERRA INTEGRAL EQUATIONS OF THE SECOND KIND
Mathematical Modelling and Analysis, 2020 In this paper we consider fuzzy Volterra integral equation of the second kind whose kernel may change sign. We give conditions for smoothness of the upper and lower functions of the solution. For numerical solution we propose the collocation method with two different basis function sets: triangular and rectangular basis. The smoothness results allow us
Zahra Alijani, Urve Kangro
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On the stability of multistep formulas for Volterra integral equations of the second kind [PDF]
Computing, 1980 The purpose of this paper is to analyse the stability properties of a class of multistep methods for second kind Volterra integral equations. Our approach follows the usual analysis in which the kernel function is a priori restricted to a special class of test functions. We consider the class of finitely decomposable kernels.
P.J. van der Houwen (Piet) +1 more
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Inverse problem for a nonlinear partial differential equation of the eighth order
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 We study the questions of solvability of the inverse problem for a nonlinear partial differential equation of the eighth order, left-hand side of which is the superposition of pseudoparabolic and pseudohyperbolic operators of the fourth order.
Tursun K Yuldashev
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Efficient algorithms for volterra integral equations of the second kind [PDF]
Computing, 1975 Spline function of degreem, deficiencyJ?1, i. e. inCm?J, are used in conjunction with (Gaussian) quadrature rules to construct algorthms for the numerical solution of a general Volterra integral equation of the second kind. For a givenm, the method is of order (m+1) and, in general, requires 0(N) evaluations of the kernel.
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Solving the second kind linear volterra integrodifferential equations using the complex SEE integral transform [PDF]
, 2022 As an important type of integral equation, Volterra integral equations snatch the focus of many scientists and mathematicians to provide approximate or exact solutions to such equations.
Kuffi, Emad A. +2 more
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