Results 21 to 30 of about 3,392 (297)
Research on Chaos of Nonlinear Singular Integral Equation
Journal of Applied Mathematics and Physics, 2023 Yannan Liu, Yu Wang
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On the Wavelet Collocation Method for Solving Fractional Fredholm Integro-Differential Equations
Mathematics, 2022 An efficient algorithm is proposed to find an approximate solution via the wavelet collocation method for the fractional Fredholm integro-differential equations (FFIDEs).
Haifa Bin Jebreen, Ioannis Dassios
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Computation of semi-analytical solutions of fuzzy nonlinear integral equations
Advances in Difference Equations, 2020 In this article, we use a fuzzy number in its parametric form to solve a fuzzy nonlinear integral equation of the second kind in the crisp case. The main theme of this article is to find a semi-analytical solution of fuzzy nonlinear integral equations. A
Zia Ullah +3 more
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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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SINGULAR INTEGRAL EQUATIONS AND APPLICATIONS TO NONLINEAR CONJUGATE PROBLEMS [PDF]
Taiwanese Journal of Mathematics, 2010 In this paper, we establish the existence of multiple positive solutions for singular integral equations. The proof is based on a general existence principle established using a nonlinear alternative principle of Leray-Schauder type and a well-known fixed point theorem in cones.
Chu, Jifeng, O'Regan, Donal
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Fractal and Fractional, 2023 We offer a wavelet collocation method for solving the weakly singular integro-differential equations with fractional derivatives (WSIDE). Our approach is based on the reduction of the desired equation to the corresponding Volterra integral equation.
Haifa Bin Jebreen
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Approximate Methods for Solving Problems of Mathematical Physics on Neural Hopfield Networks
Mathematics, 2022 A Hopfield neural network is described by a system of nonlinear ordinary differential equations. We develop a broad range of numerical schemes that are applicable for a wide range of computational problems.
Ilya Boykov +2 more
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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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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023 Background. The purpose of the study is to construct a nonlinear electromagnetic field inside the waveguide. We assume that the body is located in a semi-infinite rectangular waveguide and that an electromagnetic field propagates inside the body ...
Andrey O. Lapich, Mikhail Yu. Medvedik
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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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