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Two Singularity Subtraction Schemes for a Class of Nonlinear Weakly Singular Integral Equations
Numerical Functional Analysis and Optimization, 2022 Singularity subtraction for linear weakly singular Fredholm integral equations of the second kind is generalized to nonlinear integral equations. Two approaches are presented: The Classical Ap proach discretizes the nonlinear problem, and uses some finite dimensional linearization process to solve numerically the discrete problem.
Ahues, M. +3 more
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Monotonic solutions of functional integral and differential equations of fractional order
Electronic Journal of Qualitative Theory of Differential Equations, 2009 The existence of positive monotonic solutions, in the class of continuous functions, for some nonlinear quadratic integral equations have been studied by J. Banas. Here we are concerned with a singular quadratic functional integral equations.
Ahmed El-Sayed, H. H. G. Hashem
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On the Solution of Quadratic Nonlinear Integral Equation with Different Singular Kernels [PDF]
Mathematical Problems in Engineering, 2020 All the previous authors discussed the quadratic equation only with continuous kernels by different methods. In this paper, we introduce a mixed nonlinear quadratic integral equation (MQNLIE) with singular kernel in a logarithmic form and Carleman type. An existence and uniqueness of MQNLIE are discussed.
M. Basseem, Ahmad Alalyani
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Numerical treatments for solving nonlinear mixed integral equation
Alexandria Engineering Journal, 2016 We consider a mixed type of nonlinear integral equation (MNLIE) of the second kind in the space C[0,T]×L2(Ω ...
M.A. Abdou, M. Basseem
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Singular integral inequalities with several nonlinearities and integral equations with singular kernels [PDF]
Nonlinear Oscillations, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Boundary Value Problems, 2022 We concentrate on a category of singular boundary value problems of fractional differential equations with integral boundary conditions, in which the nonlinear function f is singular at t = 0 $t=0$ , 1.
Debao Yan
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Continuous operator method application for direct and inverse scattering problems
Журнал Средневолжского математического общества, 2021 We describe the continuous operator method for solution nonlinear operator equations and discuss its application for investigating direct and inverse scattering problems.
Boykov Ilya V. +3 more
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Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations [PDF]
Sahand Communications in Mathematical Analysis, 2015 In this paper, we studied the numerical solution of nonlinear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integration
Parviz Darania, Jafar Ahmadi Shali
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A Nonlinear Integral Equation Occurring in a Singular Free Boundary Problem [PDF]
Transactions of the American Mathematical Society, 1984 We study the Cauchy problem \[ {
Höllig, Klaus, Nohel, John A.
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Mathematical Modelling and Analysis, 1997 „Polynomial spline collocation method for nonlinear two‐dimensional weakly singular integral equations" Mathematical Modelling Analysis, 2(1), p.
Arvet Pedas
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