Results 11 to 20 of about 3,311 (299)
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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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 collocation method for nonlinear Cauchy singular integral equations
Journal of Computational and Applied Mathematics, 2000 This paper deals with nonlinear Cauchy singular integral equations of the second kind. The singularity is a finite part. The application of a collocation method with respect to the Chebyshev nodes of the second kind with a Newton iteration is discussed.
Junghanns, Peter, Müller, Katja
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Nonlinear Analysis, 2013 In this paper, we study the existence and uniqueness of solutions for a singular system of nonlinear fractional differential equations with integral boundary conditions.
Lin Wang, Xingqiu Zhang, Xinyi Lu
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Advances in Mathematical Physics, 2019 We present a new numerical technique to discover a new solution of Singular Nonlinear Volterra Integral Equations (SNVIE). The considered technique utilizes the Hybrid Orthonormal Bernstein and Block-Pulse functions wavelet method (HOBW) to solve the ...
Mohamed R. Ali +2 more
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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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Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions [PDF]
, 2008 We establish new existence results for multiple positive solutions of fourth-order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many non ...
J. R. L. Webb +5 more
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Solutions of Nonlinear Integral Equations and their Application to Singular Perturbation Problems [PDF]
, 1963 [See thesis for full ...
Willett, Douglas Warren
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Lagrangian flows for vector fields with gradient given by a singular integral [PDF]
, 2013 We prove quantitative estimates on ows of ordinary di erential equations with vector field with gradient given by a singular integral of an L1 function.
Crippa, Gianluca, Bouchut, Francois
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