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Solving Fredholm integral equation based on Padé approximants using Particle swarm optimization [PDF]
مجلة التربية والعلم, 2023 Several scientific and engineering applications are usually described as integral equations. A new approach for solving the type of linear and nonlinear Fredholm integral equation of the second kind is proposed.
Israa sheekhoo, Azzam Aladool
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Mathematics, 2021 The main aim of this paper is to numerically solve the first kind linear Fredholm and Volterra integral equations by using Modified Bernstein–Kantorovich operators.
Suzan Cival Buranay +2 more
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Applications of the Tarig Transform and Hyers–Ulam Stability to Linear Differential Equations
Mathematics, 2023 In this manuscript, we discuss the Tarig transform for homogeneous and non-homogeneous linear differential equations. Using this Tarig integral transform, we resolve higher-order linear differential equations, and we produce the conditions required for ...
L. Chitra +5 more
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On the Characteristic Values of Linear Integral Equations [PDF]
Proceedings of the National Academy of Sciences, 1928 on the basis of the general analytic properties of the kernel K (x, ~) such as im tegrability, continuity, differentiability, analyticity and the like? The l i tera ture where this and analogous questions are t rea ted is v e r y considerable [HELLI~G~n-To~eLITZ, I].
Hille, Einar, Tamarkin, J. D.
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Solvability of integral equations through fixed point theorems: a survey [PDF]
Surveys in Mathematics and its Applications, 2022 This paper surveys regarding solutions of linear and nonlinear integral equations through fixed point theorem. Banach's contraction mapping principle is the most widely applied fixed point theorem in all of analysis with special applications to the ...
Usha Bag , Reena Jain
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Open Physics, 2022 Since obtaining an analytic solution to some mathematical and physical problems is often very difficult, academics in recent years have focused their efforts on treating these problems using numerical methods.
Ghamkhar Madiha +8 more
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Algorithms, 2022 In this paper, a direct operator method is presented for the exact closed-form solution of certain classes of linear and nonlinear integral Volterra–Fredholm equations of the second kind.
Efthimios Providas
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Fuzzy Optimization and Modeling, 2022 In this study, we consider solving the second kind Volterra fuzzy integral equations system in two cases linear and nonlinear by using a semi-analytic method, called Differential Transform Method (DTM).
Mahmoud Paripour, Mandana Takrimi
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Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]
, 2012 This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
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Numerics of boundary-domain integral and integro-differential equations for BVP with variable coefficient in 3D [PDF]
, 2013 This is the post-print version of the article. The official published version can be accessed from the links below - Copyright @ 2013 Springer-VerlagA numerical implementation of the direct boundary-domain integral and integro-differential equations ...
Mikhailov, SE +2 more
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