Numerical approaches for systems of Volterra–Fredholm integral equations
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CALIO', FRANCA +3 more
openaire +3 more sources
On Volterra–Fredholm Equations with Partial Integrals
Differential Equations, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Taylor polynomial solutions of nonlinear Volterra–Fredholm integral equations
Applied Mathematics and Computation, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly +5 more sources
On Volterra-Fredholm integral equations
Periodica Mathematica Hungarica, 1993The Ważewski method associated with the convergence of successive approximations is used in order to obtain existence and uniqueness results for the functional-integral equation of Volterra-Fredholm type of the form \[ \begin{multlined} x(t)=F \Biggl( t,x(t), \int_ 0^ t f_ 1(t,s,x(s))ds,\dots, \int_ 0^ t f_ n(t,s,x(s))ds,\\ \int_ 0^ T g_ 1(t,s,x(s))ds,\
openaire +1 more source
Modified Galerkin method for Volterra-Fredholm-Hammerstein integral equations
Computational and Applied Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Payel Das +2 more
openaire +2 more sources
A new computational method for Volterra-Fredholm integral equations
Computers and Mathematics With Applications, 1999 The decomposition method is applied to mixed Volterra-Fredholm integral equations. The presented method needs the Adomian decomposition series for that the bound is established. The considered theory is illustrated by two numerical examples.
Mahmoud Hadizadeh, Khosrow Maleknejad
exaly +2 more sources
Representation of exact solution for the nonlinear Volterra–Fredholm integral equations
Applied Mathematics and Computation, 2006This paper is concerned with the existence of the exact solution of the following nonlinear Volterra-Fredholm integral equation \[ u(x)=f(x)+Gu(x), \] where \[ Gu(x)=\lambda_{1}\int_{a}^{x}K_{1}(x,\xi)N_{1}(u(\xi))\,d\xi +\lambda_{2}\int_{a}^{b}K_{2}(x,\xi)N_{2}(u(\xi))\,d\xi, \] \(u(x)\) is the unknown function, \(u(x), \;f(x)\in W^{1}_{2}[a,b], \;N_ ...
Minggen Cui, Hong Du
openaire +2 more sources
An efficient algorithm for solving nonlinear Volterra–Fredholm integral equations
Applied Mathematics and Computation, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhong Chen 0008, Wei Jiang 0012
openaire +1 more source
Solution of nonlinear Volterra–Fredholm–Hammerstein integral equations via a collocation method and rationalized Haar functions [PDF]
Applied Mathematics Letters, 2008 Rationalized Haar functions are developed to approximate the solution of the nonlinear Volterra–Fredholm–Hammerstein integral equations. The properties of rationalized Haar functions are first presented.
Mohsen Razzaghi, Yadollah Ordokhani
exaly +2 more sources
On the existence and uniqueness of solutions of fuzzy Volterra–Fredholm integral equations
Fuzzy Sets and Systems, 2000Fuzzy integral equations were introduced by \textit{H. Y. Chen} [J. Math. Anal. Appl. 80, 19-30 (1981; Zbl 0506.45014)] as the method of solution of fuzzy differential equations [cf. also \textit{D. Dubois} and \textit{H. Prade}, Fuzzy Sets Syst. 8, 105-116 (1982; Zbl 0493.28003); \textit{R. Goetschel jun.} and \textit{W. Voxman}, ibid. 18, 31-43 (1986;
Jong Yeoul Park, Jae Ug Jeong
openaire +1 more source