Numerical solution of linear integral equations system using the Bernstein collocation method

اسناد مشابه

• On the Numerical Solution of Integral Equations System by B-Spline Wavelet Collocation

  سند علمی۲۰۱۰PDPTAKhosrow Maleknejad, Monireh Nosrati Sahlan

  In this paper, we propose the cubic semi-orthogonal compactly supported B-spline wavelets as a basis functions for the efficient solution of the second kind Fredholm integral equations system. Properties of these wavelets first presented and these properties are then used to redu

• Numerical solution of linear integral equations system using the Bernstein collocation method

  سند علمی۲۰۱۳Ahmad Jafarian, Safa A Measoomy Nia, Alireza K Golmankhaneh, Dumitru Baleanu

  Since in some application mathematical problems finding the analytical solution is too complicated, in recent years a lot of attention has been devoted by researchers to find the numerical solution of this equations. In this paper, an application of the Bernstein polynomials expa

• Numerical solutions of one-dimensional non-linear parabolic equations using Sinc collocation method

  سند علمی۲۰۱۵Jalil Rashidinia, Ali Barati, J. Rashidinia, A. Barati

  Nonlinear parabolic equations; Singularly perturbed equations; Sinc collocation method; Convergence analysis Abstract We propose a numerical method for solving singularly perturbed one-dimensional nonlinear parabolic problems. The equation converted to the nonlinear ordinary diff

• Numerical Solutions of Two-dimensional Mixed Volterra-fredholm Integral Equations via Bernoulli Collocation Method

  سند علمی۲۰۱۷R. M. HAFEZ, E. H. DOHA, A. H. BHRAWY, D. BALEANU

  The mixed Volterra-Fredholm integral equations (VFIEs) arise in various physical and biological models. The main purpose of this article is to propose and analyze efficient Bernoulli collocation techniques for numerically solving classes of two-dimensional linear and nonlinear mi

• Solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via a collocation method and rationalized Haar functions

  سند علمی۲۰۰۸Appl. Math. Lett.Yadollah Ordokhani, Mohsen Razzaghi

  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. These properties together with the Newton–Cotes nodes and Newton–Cotes integ

• Numerical study of astrophysics equations using Bessel collocation methods of first Kind

  مقاله۲۰۲۵Computational Methods for Differential EquationsShelly Arora, Indu Bala

  A hybrid computational procedure of Newton Raphson method and orthogonal collocation method have been applied to study the behavior of nonlinear astrophysics equations. The nonlinear Lane Emden equation has been discretized using the orthogonal collocation method using $n^{th}$-o