NUMERICAL SOLUTION OF FREDHOLM INTEGRAL EQUATIONS OF THE FIRST KIND USING LEGENDRE WAVELET COLLOCATION METHOD
نویسندگان
چکیده
منابع مشابه
Numerical solution of Hammerstein Fredholm and Volterra integral equations of the second kind using block pulse functions and collocation method
In this work, we present a numerical method for solving nonlinear Fredholmand Volterra integral equations of the second kind which is based on the useof Block Pulse functions(BPfs) and collocation method. Numerical examplesshow eciency of the method.
متن کاملChebyshev Wavelet Method for Numerical Solution of Fredholm Integral Equations of the First Kind
A computational method for solving Fredholm integral equations of the first kind is presented. The method utilizes Chebyshev wavelets constructed on the unit interval as basis in Galerkin method and reduces solving the integral equation to solving a system of algebraic equations. The properties of Chebyshev wavelets are used to make the wavelet coefficient matrices sparse which eventually leads...
متن کاملNumerical solution of two-dimensional fuzzy Fredholm integral equations using collocation fuzzy wavelet like operator
In this paper, first we propose a new method to approximate the solution of two-dimensional linear fuzzy Fredholm integral equations of the second kind based on the fuzzy wavelet like operator. Then, we discuss and investigate the convergence and error analysis of the proposed method. Finally, to show the accuracy of the proposed method, we present two numerical examples.
متن کاملLegendre Wavelets Direct Method for the Numerical Solution of Fredholm Integral Equation of the First Kind
In this paper, an efficient direct method based on Legendre wavelets is introduced to approximate the solution of Fredholm integral equations of the first kind. These basic functions are orthonormal and have compact support. The properties of the Legendre wavelets are utilized to convert the integral equations into a system of linear algebraic equations. The main characteristic of the method is...
متن کاملCollocation and Fredholm Integral Equations of the First Kind
We consider the problem of numerical inversion of Fredholm integral equations of the first kind via piecewise interpolation. One of the most important aspects of this technique is the choice of grid and collocation points. Theoretical results are developed which identify an optimal strategy for the distribution of collocation points for piecewise constant interpolation. The method, as outlined,...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Pure and Apllied Mathematics
سال: 2018
ISSN: 1311-8080,1314-3395
DOI: 10.12732/ijpam.v117i1.4