existence of an $l^p$-solution for two dimensional integral equations of the hammerstein type

Similar items

• Existence of an $L^p$-solution for two dimensional integral equations of the Hammerstein type

  Article2014Bulletin of the Iranian Mathematical SocietyS. A. Hosseini, S. Shahmorad, A. Tari

  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.

• Numerical solution of a class of nonlinear two-dimensional integral equations using Bernoulli polynomials

  Article2016Sahand Communications in Mathematical AnalysisSohrab Bazm

  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

  Article2016sahand communications in mathematical analysissohrab bazm

  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 two-dimensional integral equations of the first kind by multi-step methods

  Articlecomputational methods for differential equationsabolfazl tari marzabad, department of mathematics-shahed university-tehran-iran. seyed musa torabi, department of mathematics-shahed university-tehran‎- ‎iran

  ‎‎‎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

  Article2016Computational Methods for Differential EquationsSeyed Musa Torabi, Abolfazl Tari Marzabad

  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

• 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

  Article2022Computational Mathematics and Computer Modeling with Applications (CMCMA)Hafez Yari, Mehdi Delkhosh

  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