Results 41 to 50 of about 307 (168)
Approximate Numerical Solutions for Linear Volterra Integral Equations Using Touchard Polynomials
مجلة بغداد للعلوم, 2020 In this paper, Touchard polynomials (TPs) are presented for solving Linear Volterra integral equations of the second kind (LVIEs-2k) and the first kind (LVIEs-1k) besides, the singular kernel type of this equation.
Jalil Talab Abdullah
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Advances in Mathematical Physics, 2022 The goal of this paper is study the mixed integral equation with singular kernel in two-dimensional adding to the time in the Volterra integral term numerically.
A. M. Al-Bugami
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Singularly perturbed Volterra integral equations with weakly singular kernels [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 We consider finding asymptotic solutions of the singularly perturbed linear Volterra integral equations with weakly singular kernels. An interesting aspect of these problems is that the discontinuity of the kernel causes layer solutions to decay algebraically rather than exponentially within the initial (boundary) layer. To analyse this phenomenon, the
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Solutions for singular Volterra integral equations
Electronic Journal of Qualitative Theory of Differential Equations, 2009 Summary: We consider the system of Volterra integral equations \[ \begin{multlined} u_i(t) =\int_{0}^{t}g_i(t,s)[P_i(s,u_1(s),u_2(s),\dots,u_n(s))+ \\ + Q_i(s,u_1(s),u_2(s),\dots,u_n(s))]ds,\quad t\in [0,T],\;1\leq i\leq n \end{multlined} \] where \(T>0\) is fixed and the nonlinearities \(P_i(t,u_1,u_2,\dots,u_n)\) can be singular at \(t=0\) and \(u_j ...
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A Müntz-Collocation Spectral Method for Weakly Singular Volterra Integral Equations [PDF]
Journal of Scientific Computing, 2019 In this paper we propose and analyze a fractional Jacobi-collocation spectral method for the second kind Volterra integral equations (VIEs) with weakly singular kernel $(x-s ...
Dianming Hou +3 more
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Mixed type of Fredholm-Volterra integral equation
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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Triangular functions in solving Weakly Singular Volterra integral equations
Advances in the Theory of Nonlinear Analysis and its Application, 2023 In this paper, we propose the triangular orthogonal functions as a basis functions for solution of weakly singular Volterra integral equations of the second kind. Powerful properties of these functions and some operational matrices are utilized in a direct method to reduce singular integral equation to some algebraic equations. The presented method
Monireh NOSRATİ, Hojjat AFSHARİ
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Ain Shams Engineering Journal, 2022 We presented an interpolation method for solving weakly singular Volterra integral equations of the second kind (SVK2). The method based on the barycentric Lagrange interpolation.. For the chosen nodes of the two singular kernel variables, we created two
E.S. Shoukralla +3 more
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International Journal of Mathematics and Mathematical SciencesIn this paper, we use quasilinearization technique, product integration rule, and collocation method to present a new numerical method to solve nonlinear fractional Volterra integro-differential equations with logarithmic weakly singular kernel.
Qays Atshan Almusawi, Esmaeil Najafi
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Convolution Calculus for a Class of Singular Volterra Integral Equations
Journal of Integral Equations and Applications, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Iwasaki, Katsunori, Kamimura, Yutaka
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