A computational method for solving two-dimensional linear Volterra integral equations of the first kind
نویسندگان
چکیده
منابع مشابه
SOLVING NONLINEAR TWO-DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS OF THE FIRST-KIND USING BIVARIATE SHIFTED LEGENDRE FUNCTIONS
In this paper, a method for finding an approximate solution of a class of two-dimensional nonlinear Volterra integral equations of the first-kind is proposed. This problem is transformedto a nonlinear two-dimensional Volterra integral equation of the second-kind. The properties ofthe bivariate shifted Legendre functions are presented. The operational matrices of integrationtogether with the produ...
متن کاملA new method for solving two-dimensional fuzzy Fredholm integral equations of the second kind
In this work, we introduce a novel method for solving two-dimensional fuzzy Fredholm integral equations of the second kind (2D-FFIE-2). We use new representation of parametric form of fuzzy numbers and convert a two-dimensional fuzzy Fredholm integral equation to system of two-dimensional Fredholm integral equations of the second kind in crisp case. We can use Adomian decomposition method for n...
متن کاملA Computational Method for Solving Two-dimensional Linear Fredholm Integral Equations of the Second Kind
In this paper an expansion method, based on Legendre or any orthogonal polynomials, is developed to find numerical solutions of two-dimensional linear Fredholm integral equations. We estimate the error of the method, and present some numerical examples to demonstrate the accuracy of the method. 2000 Mathematics subject classification: 65R20.
متن کاملA Computational Method for Solving Linear Volterra Integral Equations
The aim of the present paper is to introduce numerical method for solving linear Volterra integral equations of the second kind.The main idea is based on the adaptive Simpson's quadrature method .The technique is very effective and simple.We show that our estimates have a good degree of accuracy.
متن کاملAPPLICATION OF FUZZY EXPANSION METHODS FOR SOLVING FUZZY FREDHOLM- VOLTERRA INTEGRAL EQUATIONS OF THE FIRST KIND
In this paper we intend to offer new numerical methods to solvethe fuzzy Fredholm- Volterra integral equations of the firstkind $(FVFIE-1)$. Some examples are investigated to verify convergence results and to illustrate the efficiently of the methods.
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: Scientia Iranica
سال: 2012
ISSN: 1026-3098
DOI: 10.1016/j.scient.2011.02.002