Results 11 to 20 of about 18,340 (169)
MathematicsIn the paper, two new analytic methods using the decomposition and linearization technique on nonlinear differential/integral equations are developed, namely, the decomposition–linearization–sequential method (DLSM) and the linearized homotopy ...
Chein-Shan Liu +2 more
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The Cardinal Spline Methods for the Numerical Solution of Nonlinear Integral Equations
Journal of Chemistry, 2020 In this study, an effective technique is presented for solving nonlinear Volterra integral equations. The method is based on application of cardinal spline functions on small compact supports.
Xiaoyan Liu +3 more
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Electronic Journal of Differential Equations, 2019 This article studies the existence and multiplicity of component-wise positive solutions for systems of nonlinear Hammerstein integral equations. In this system one nonlinear term is uniformly superlinear or uniformly sublinear, and the other is ...
Xiyou Cheng, Zhaosheng Feng
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Extrapolation methods for the numerical solution of nonlinear Fredholm integral equations [PDF]
, 2019 In this paper, we want to exemplify the use of extrapolation methods (namely Shanks transformations, the recursive algorithms for their implementation, and the freely available corresponding matlab software) in the solution of nonlinear Fredholm integral
CLAUDE BREZINSKI, MICHELA REDIVO ZAGLIA
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Boundary element formulations for the numerical solution of two-dimensional diffusion problems with variable coefficients [PDF]
, 2012 This is the post-print version of the final paper published in Computers & Mathematics with Applications. The published article is available from the link below.
Škerget, L +7 more
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Numerical Study of Two-Dimensional Volterra Integral Equations by RDTM and Comparison with DTM
Abstract and Applied Analysis, 2013 The two-dimensional Volterra integral equations are solved using more recent semianalytic method, the reduced differential transform method (the so-called RDTM), and compared with the differential transform method (DTM).
Reza Abazari, Adem Kılıçman
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Curvelets, Wave Atoms, and Wave Equations [PDF]
, 2006 We argue that two specific wave packet families---curvelets and wave atoms---provide powerful tools for representing linear systems of hyperbolic differential equations with smooth, time-independent coefficients.
Demanet, Laurent
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A Computational Technique for Solving Three-Dimensional Mixed Volterra–Fredholm Integral Equations
Fractal and Fractional, 2023 In this article, a novel and efficient approach based on Lucas polynomials is introduced for solving three-dimensional mixed Volterra–Fredholm integral equations for the two types (3D-MVFIEK2).
Amr M. S. Mahdy +3 more
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Doubly nonlinear parabolic equations
, 2020 The public defense on 15th May 2020 at 12:00 will be organized via remote technology. Link: https://aalto.zoom.us/j/66291986278 Zoom Quick Guide: https://www.aalto.fi/en/services/zoom-quick-guideThis thesis is devoted to the study of the existence and ...
Vestberg, Matias
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Solving system of nonlinear integral equations by Newton-Kantorovich method [PDF]
, 2013 Newton-Kantorovich method is applied to obtain an approximate solution for a system of nonlinear Volterra integral equations which describes a large class of problems in ecology, economics, medicine and other fields.
Kilicman, Adem +3 more
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