Add to ORKGTwo-dimensional wavelets for numerical solution of integral equations Hesam-aldien Derili1*, Saeed Sohrabi2 and Asghar Arzhang1 Purpose: In this paper, we shall investigate the numerical solution of two-dimensional Fredholm integral equations (2D-FIEs). Methods: In this work, we apply two-dimensional Haar wavelets, to solve linear two dimensional Fredholm integral equations (2D-FIEs). Using 2D Haar wavelets and their properties, 2D-FIEs of the second kind reduce to a system of algebraic equations. Results: The numerical examples illustrate the efficiency and accuracy of the method. Conclusions: In comparison with other bases (for example, polynomial bases), one of the advantages of this method is, although the involved matrices have a large...
The current study proposes a numerical method which solves nonlinear Fredholm and Volterra integral ...
Abstract: A method for solving the Fredholm integral equation of the second kind, i.e. ∫ = − ba xgdy...
Presents the state of the art in the study of fast multiscale methods for solving these equations ba...
AbstractIn this work, we present a computational method for solving nonlinear Fredholm integral equa...
Integral equations have been one of the most important tools in several areas of science and enginee...
Abstract. A numerical method for solving nonlinear Fredholm integral equations, based on the Haar wa...
An efficient algorithm based on the Haar wavelet approach for numerical solution of linear integral ...
One of the key tools for many fields of applied mathematics is the integral equations. Integral equa...
Abstract: The main purpose of this paper is to obtain the numerical solution of linear Volterra and ...
In this paper,We use the continuous Legendre multi-wavelets on the interval [0, 1) to solve Fredholm...
In this work, we present a numerical solution of nonlinear fredholm integral equations using Leibnit...
AbstractTwo-dimensional Haar wavelets are applied for solution of the partial differential equations...
In this paper, the linear semiorthogonal compactly supported B-spline wavelets together with their d...
A novel and efficient numerical method is developed based on interpolating scaling functions to solv...
In this paper, an expansion method based on Legendre or any orthogonal polynomials is developed to...
The current study proposes a numerical method which solves nonlinear Fredholm and Volterra integral ...
Abstract: A method for solving the Fredholm integral equation of the second kind, i.e. ∫ = − ba xgdy...
Presents the state of the art in the study of fast multiscale methods for solving these equations ba...
AbstractIn this work, we present a computational method for solving nonlinear Fredholm integral equa...
Integral equations have been one of the most important tools in several areas of science and enginee...
Abstract. A numerical method for solving nonlinear Fredholm integral equations, based on the Haar wa...
An efficient algorithm based on the Haar wavelet approach for numerical solution of linear integral ...
One of the key tools for many fields of applied mathematics is the integral equations. Integral equa...
Abstract: The main purpose of this paper is to obtain the numerical solution of linear Volterra and ...
In this paper,We use the continuous Legendre multi-wavelets on the interval [0, 1) to solve Fredholm...
In this work, we present a numerical solution of nonlinear fredholm integral equations using Leibnit...
AbstractTwo-dimensional Haar wavelets are applied for solution of the partial differential equations...
In this paper, the linear semiorthogonal compactly supported B-spline wavelets together with their d...
A novel and efficient numerical method is developed based on interpolating scaling functions to solv...
In this paper, an expansion method based on Legendre or any orthogonal polynomials is developed to...
The current study proposes a numerical method which solves nonlinear Fredholm and Volterra integral ...
Abstract: A method for solving the Fredholm integral equation of the second kind, i.e. ∫ = − ba xgdy...
Presents the state of the art in the study of fast multiscale methods for solving these equations ba...