Results 51 to 60 of about 755 (165)
Journal of Mathematical Extension, 2013 Since various problems in science and engineering fields can be modeled by nonlinear Volterra-Fredholm integral equations, the main focus of this study is to present an effective numerical method for solving them.
M. Roodaki, Z. JafariBehbahani
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Abstract and Applied Analysis, 2014 The paper is devoted mainly to the study of the existence of solutions depending on two variables of a nonlinear integral equation of Volterra-Stieltjes type.
Mohamed Abdalla Darwish, Józef Banaś
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A Starting Method for Solving Nonlinear Volterra Integral Equations [PDF]
Mathematics of Computation, 1967 In this paper a fifth order starting method is given for Volterra equations of the form y ( t ) = f ( t ) + ∫ x 0 t k ( t
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On some Nonlinear Integral Inequalities for Volterra Integral Equations
Annals of the Alexandru Ioan Cuza University - Mathematics, 2014 Abstract In this paper, we have stated and proved some results on nonlinear integral inequalities and its applications which provide an explicit bound on unknown function and can be used as a tool in the study of certain nonlinear retarded Volterra integral equations.
S.D. Kendre, S.G. Latpate
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Comparison between variational iteration method and Gegenbauer–Galerkin method for solving two dimensional nonlinear Volterra integral equations of the second kind [PDF]
AIP AdvancesThis paper intends to introduce two numerical techniques—the variational iteration method and the Gegenbauer–Galerkin method—for obtaining solutions to two dimensional nonlinear Volterra integral equations of the second kind.
M. H. Ahmed
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Solving volterra integral equation via nonlinear programming
International Journal of Applied Mathematical Research, 2016 In this paper we propose an approach to find approximate solution to the nonlinear Volterra integral equation of the second type through a nonlinear programming technique by firstly converting the integral equation into a least square cost function as an objective function for an unconstrained nonlinear programming problem which solved by a nonlinear ...
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International Journal of Mathematics and Mathematical SciencesIn this paper, we use quasilinearization technique, product integration rule, and collocation method to present a new numerical method to solve nonlinear fractional Volterra integro-differential equations with logarithmic weakly singular kernel.
Qays Atshan Almusawi, Esmaeil Najafi
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Solutions for certain nonlinear Volterra integral equations
Journal of Mathematical Analysis and Applications, 1979 where t belongs to a half open (possibly unbounded) interval I = (0, c), and u, + and f have values in R*, the m-dimensional Euclidean space with the norm I x I = 1 x1 / + ... + I xm I when x = (xl,..., x”). We shall give three main local existence theorems, Theorem 2.1-2.3, under very general assumptions on f.
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Existence of solutions for mixed Volterra-Fredholm integral equations
Electronic Journal of Differential Equations, 2012 In this article, we give some results concerning the continuity of the nonlinear Volterra and Fredholm integral operators on the space $L^{1}[0,infty)$.
Asadollah Aghajani +2 more
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Collocation Method for Nonlinear Volterra-Fredholm Integral Equations
Open Journal of Applied Sciences, 2012 A fully discrete version of a piecewise polynomial collocation method based on new collocation points, is constructed to solve nonlinear Volterra-Fredholm integral equations. In this paper, we obtain existence and uniqueness results and analyze the convergence properties of the collocation method when used to approximate smooth solutions of Volterra ...
Jafar Ahmadi Shali +2 more
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