Results 21 to 30 of about 6,585 (218)
Bulletin of Mathematical Sciences and Applications, 2017 In this paper, we present a numerical solution of nonlinear Volterra-Fredholm integral equations using Haar wavelet collocation method. Properties of Haar wavelet and its operational matrices are utilized to convert the integral equation into a system of algebraic equations, solving these equations using MATLAB to compute the Haar coefficients.
S.C. Shiralashetti, R.A. Mundewadi
openaire +2 more sources
AIMS Mathematics, 2021 : This study is focused on the numerical solutions of the nonlinear Volterra-Fredholm integral equations (NV-FIEs) of the second kind, which have several applications in physical mathematics and contact problems.
G. Mosa, M. Abdou, A. Rahby
semanticscholar +1 more source
Newton-Krylov generalized minimal residual algorithm in solving nonlinear Volterra-Fredholm-Hammerstein integral equations [PDF]
Mathematics and Computational Sciences, 2021 In this paper, Galerkin and collocation methods based on shifted Legendre polynomials and spectral methods have been applied on nonlinear Volterra-Fredholm-Hammerstein (VFH) integral equations, these methods transfer the finding solution of a nonlinear ...
Ahmad Zavvartorbati
doaj +1 more source
International Journal of Analysis and Applications, 2022 In this paper, we discuss the existence and uniqueness of the solution of the second kind nonlinear Volterra-Fredholm integral equations (NV-FIEs) which appear in mathematical modeling of many phenomena, using Picard’s method.
A. Rahby, M. A. Abdou, G. Mosa
semanticscholar +1 more source
Al'brekht's Method in Infinite Dimensions [PDF]
, 2020 In 1961 E. G. Albrekht presented a method for the optimal stabilization of smooth, nonlinear, finite dimensional, continuous time control systems.
Krener, AJ
core +3 more sources
Existence of solutions of general nonlinear fuzzy Volterra‐Fredholm integral equations [PDF]
International Journal of Stochastic Analysis, 2005 We study the problem of existence and uniqueness of solutions of a class of nonlinear fuzzy Volterra‐Fredholm integral equations.
Balachandran, K., Kanagarajan, K.
openaire +2 more sources
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
doaj +1 more source
An approximation method for the solution of nonlinear integral equations [PDF]
, 2006 A Chebyshev collocation method has been presented to solve nonlinear integral equations in terms of Chebyshev polynomials. This method transforms the integral equation to a matrix equation which corresponds to a system of nonlinear algebraic equations ...
Akyuz-Dascioglu, A, Yaslan, HC
core +3 more sources
An approach of extrapolation methods for the solution of nonlinear Volterra–Fredholm integral equations of the second kind [PDF]
Iranian Journal of Numerical Analysis and OptimizationThis study presents the process of using extrapolation methods to solve the nonlinear Volterra–Fredholm integral equations of the second kind. To do this, by approximating the integral terms contained in equations by a quadrature rule, the nonlinear ...
H. Safdari +2 more
doaj +1 more source
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
doaj +1 more source