«two dimensional integral equations»
۴۳۴۲ نتیجهNumerical solution of a class of nonlinear two-dimensional integral equations using Bernoulli polynomials
In this study, the Bernoulli polynomials are used to obtain an approximate solution of a class of nonlinear two-dimensional integral equations. To this aim, the operational matrices of integration and the product for Bernoulli polynomials are derived and utilized to reduce the co
numerical solution of a class of nonlinear two-dimensional integral equations using bernoulli polynomials
in this study, the bernoulli polynomials are used to obtain an approximate solution of a class of nonlinear two-dimensional integral equations. to this aim, the operational matrices of integration and the product for bernoulli polynomials are derived and utilized to reduce the co
existence of an $l^p$-solution for two dimensional integral equations of the hammerstein type
in this paper, existence of an $l^p$-solution for 2dies (two dimensional integral equations) of the hammerstein type is discussed. the main tools in this discussion are schaefer's and schauder's fixed point theorems with a general version of gronwall's inequality.
Existence of an $L^p$-solution for two dimensional integral equations of the Hammerstein type
In this paper, existence of an $L^p$-solution for 2DIEs (Two Dimensional Integral Equations) of the Hammerstein type is discussed. The main tools in this discussion are Schaefer's and Schauder's fixed point theorems with a general version of Gronwall's inequality.
Newton-Krylov generalized minimal residual algorithm in solving the nonlinear two-dimensional integral equations of the second kind on non-rectangular domains with an error estimate
In this paper, an applicable numerical approximation has been proposed for solving nonlinear two-dimensional integral equations (2DIEs) of the second kind on non-rectangular domains. Because directly applying the collocation methods on non-rectangular domains is difficult, in thi
numerical solution of two-dimensional integral equations of the first kind by multi-step methods
in this paper, we develop multi-step methods to solve a class of two-dimensional nonlinear volterra integral equations (2d-nvies) of the first kind. here, we convert a 2d-nvie of the first kind to a one-dimensional linear vie of the first kind and then we solve the resul
Numerical solution of two-dimensional integral equations of the first kind by multi-step methods
In this paper, we develop multi-step methods to solve a class of two-dimensional nonlinear Volterra integral equations (2D-NVIEs) of the first kind. Here, we convert a 2D-NVIE of the first kind to a one-dimensional linear VIE of the first kind and then we solve the resulted equat
Solvability of Two-Dimensional Integral Equations with Concave Nonlinearity in the Plane
We consider a class of two-dimensional integral equations with noncompact monotone Hammerstein operators and concave nonlinearity. prove constructive theorem on the existence uniqueness nontrivial nonnegative bounded solution study asymptotic behavior at infinity. Some examples k
existence and uniqueness of the solution of fuzzy-valued integral equations of mixed type
in this paper, existence theorems for the fuzzy volterra-fredholm integral equations of mixed type (fvfiemt) involving fuzzy number valued mappings have been investigated. then, by using banach's contraction principle, sufficient conditions for the existence of a unique solution
Existence and uniqueness of the solution of fuzzy-valued integral equations of mixed type
In this paper, existence theorems for the fuzzy Volterra-Fredholm integral equations of mixed type (FVFIEMT) involving fuzzy number valued mappings have been investigated. Then, by using Banach's contraction principle, sufficient conditions for the existence of a unique solution