Results 11 to 20 of about 466,993 (231)
Legendre wavelets technique for special Initial-Value problem for the quarter plain of heat transfer [PDF]
Mathematics and Computational Sciences, 2020 In this paper we have solved the heat transfer equation by means of the Volterra integral equation and Legendre Wavelets. Since, due to numerical facts, solution of the related partial differential equation is difficult, thus we have applied integral ...
Bahman Babayar-Razlighi, Mehdi Solaimani
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Cascade-Forward Neural Network for Volterra Integral Equation Solution
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2021 The method of solving volterra integral equation by using numerical solution is a simple operation but to require many memory space to compute and save the operation.
Shymaa Akram Hantoush Alrubaie
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Fractal and Fractional, 2020 The main goal of the paper is to present an approximate method for solving of a two-dimensional nonlinear Volterra-Fredholm fuzzy integral equation (2D-NVFFIE). It is applied the homotopy analysis method (HAM).
Atanaska Georgieva, Snezhana Hristova
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Singular Volterra integral equations
Applied Mathematics Letters, 2000 AbstractExistence results are presented for the singular Volterra integral equation y(t) = h(t) + ∫0t k(t, s) f(s, y(s)) ds, for t ∈ [0,T]. Here f may be singular at y = 0. As a consequence new results are presented for the nth order singular initial value problem.
Agarwal, R.P., O'Regan, D.
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On a perturbed Volterra integral equation
Journal of Mathematical Analysis and Applications, 1970 AbstractFor the Volterra integral equation x(t) = f(t) − ∝0t a(t, s)(x(s) + g[s, x(s)]) ds, if the resolvent kernel of a(t, s) is sufficiently well-behaved, and if ¦g(t, x)¦ → 0 as t → ∞ in some sense, then ¦x(t) − y(t)¦ → 0 as t → ∞, where y(t) is the solution of y(t) = f(t) − ∝0t a(t, s) y(s) ds.
Aaron Strauss, Aaron Strauss
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Optimal homotopy asymptotic method for solving Volterra integral equation of first kind
Alexandria 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
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Electronic Journal of Qualitative Theory of Differential Equations, 2017 The paper is devoted to the study of the solvability of a nonlinear Volterra–Stieltjes integral equation in the class of real functions defined, bounded and continuous on the real half-axis $\mathbb{R}_+$ and having finite limits at infinity.
Jozef Banas, Agnieszka Dubiel
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On Solutions of a Nonlinear Erdélyi-Kober Integral Equation
Abstract and Applied Analysis, 2014 We conduct some investigations concerning the solvability of a nonlinear integral equation of Erdélyi-Kober type. To facilitate our study we will first consider a nonlinear integral equation of Volterra-Stieltjes type.
Nurgali K. Ashirbayev +2 more
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Nonconvolution nonlinear integral Volterra equations with monotone operators [PDF]
Comput. Math. Appl. 50 (2005), 1405-1414, 2010 Some results about existence, uniqueness, and attractive behaviour of solutions for nonlinear Volterra integral equations with non-convolution kernels are presented in this paper. These results are based on similar ones about nonlinear Volterra integral equations with convolution kernels and some comparison techniques.
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Eigenvalues of Volterra Operator [PDF]
ITM Web of ConferencesIntegral equations frequently appear in many mechanics problems. Several of them are grouped based on the location of an unknown function or the integration interval. Here we have a boundary problem that will be rearranged into Volterra integral equation.
Maharani Dian +7 more
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