To the boundary value problem of ordinary differential equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2015 Method for solving of a boundary value problem for ordinary differential equations with boundary conditions at phase and integral constraints is proposed.
Serikbai Aisagaliev, Zhanat Zhunussova
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Legendre Multi-wavelets Direct Method for Solving Fredholm Integral Equations of the Second Kind [PDF]
, 2010 In this paper,We use the continuous Legendre multi-wavelets on the interval [0, 1) to solve Fredholm integral equations of the second kind. To do so, we reduced the solution of Fredholm integral equation to the solution of algebraic equations ...
Zulkifly Abbas, S. Vahdati, M. Ghasemi
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Use of Bernstein Polynomial in Numerical Solution of Nonlinear Fred Holm Integral Equation [PDF]
Engineering and Technology Journal, 2011 In this paper, Bernstein polynomials with different degree has been used to approximate the solution of nonlinear Fredholm integral equations. A comparison between the different degree of Bernstein polynomials has been made depending on absolute error ...
Khawla A .AL-Zubaidy, Muna M. Mustafa
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Complexity, 2021 This paper involves extended b−metric versions of a fractional differential equation, a system of fractional differential equations and two-dimensional (2D) linear Fredholm integral equations. By various given hypotheses, exciting results are established
Hasanen A. Hammad +2 more
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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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Constructive method for solvability of Fredholm equation of the first kind
Electronic Journal of Qualitative Theory of Differential Equations, 2017 The solvability and construction of the general solution of the first kind Fredholm integral equation are among the insufficiently explored problems in mathematics. There are various approaches to solve this problem.
Serikbai Aisagaliev, Zhanat Zhunussova
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Solving Fuzzy Nonlinear Volterra-Fredholm Integral Equations by Using Homotopy Analysis and Adomian Decomposition Methods [PDF]
, 2011 In this paper, Adomian decomposition method (ADM) and homotopy analysis method (HAM) are proposed to solving the fuzzy nonlinear Volterra-Fredholm integral equation of the second kind$(FVFIE-2)$.
Shadan Sadigh Behzadi
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Inverse problem for a Fredholm third order partial integro-differential equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 The solvability of various problems for partial differential equations of the third order is researched in many papers. But, partial Fredholm integro-differential equations of the third order are studied comparatively less. Integro-differential equations
Tursun K Yuldashev
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An integral equation method for a boundary value problem arising in unsteady water wave problems [PDF]
, 2008 In this paper we consider the 2D Dirichlet boundary value problem for Laplace’s equation in a non-locally perturbed half-plane, with data in the space of bounded and continuous functions.
Chamberlain, P. G +2 more
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A note on the numerical solution for Fredholm integral equation of the second kind with Cauchy kernel. [PDF]
, 2011 In this study, numerical solution for the Fredholm integral equation of the second kind with Cauchy singular kernel is presented. The Chebyshev polynomials of the second kind are used to approximate the unknown function.
Eshkuratov, Zainidin K. +2 more
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