numerical solution of nonlinear fredholm-volterra integral equations via bell polynomials

Authors

farshid mirzaee

malayer university

abstract

in this paper, we propose and analyze an efficient matrix methodbased on bell polynomials for numerically solving nonlinear fredholm- volterraintegral equations. for this aim, first we calculate operational matrix of integration and product based on bell polynomials. by using these matrices, nonlinearfredholm-volterra integral equations reduce to the system of nonlinear algebraicequations which can be solved by an appropriate numerical method such as newton’s method. also, we show that the proposed method is convergent. some examples are provided to illustrate the applicability, efficiency and accuracy of thesuggested scheme. comparison of the proposed method with other previous methods shows that this method is very accurate.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

Numerical solution of nonlinear Fredholm-Volterra integral equations via Bell polynomials

In this paper, we propose and analyze an efficient matrix method based on Bell polynomials for numerically solving nonlinear Fredholm- Volterra integral equations. For this aim, first we calculate operational matrix of integration and product based on Bell polynomials. By using these matrices, nonlinear Fredholm-Volterra integral equations reduce to the system of nonlinear algebraic equations w...

full text

A Numerical Solution of Nonlinear Volterra-fredholm Integral Equations

In this paper, a numerical procedure for solving a class of nonlinear VolterraFredholm integral equations is presented. The method is based upon the globally defined sinc basis functions. Properties of the sinc procedure are utilized to reduce the computation of the nonlinear integral equations to some algebraic equations. Illustrative examples are included to demonstrate the validity and appli...

full text

Solution of Nonlinear Fredholm-Volterra Integral Equations via Block-Pulse ‎Functions

In this paper, a new simple direct method to solve nonlinear Fredholm-Volterra integral equations is presented. By using Block-pulse (BP) functions, their operational matrices and Taylor expansion a nonlinear Fredholm-Volterra integral equation converts to a nonlinear system. Some numerical examples illustrate accuracy and reliability of our solutions. Also, effect of noise shows our solutions ...

full text

Numerical Solution of Interval Volterra-Fredholm-Hammerstein Integral Equations via Interval Legendre Wavelets ‎Method‎

In this paper, interval Legendre wavelet method is investigated to approximated the solution of the interval Volterra-Fredholm-Hammerstein integral equation. The shifted interval Legendre polynomials are introduced and based on interval Legendre wavelet method is defined. The existence and uniqueness theorem for the interval Volterra-Fredholm-Hammerstein integral equations is proved. Some examp...

full text

Numerical solution of general nonlinear Fredholm-Volterra integral equations using Chebyshev ‎approximation

A numerical method for solving nonlinear Fredholm-Volterra integral equations of general type is presented. This method is based on replacement of unknown function by truncated series of well known Chebyshev expansion of functions. The quadrature formulas which we use to calculate integral terms have been imated by Fast Fourier Transform (FFT). This is a grate advantage of this method which has...

full text

Convergence of Approximate Solution of Nonlinear Volterra-Fredholm Integral Equations

In this study, an effective technique upon compactly supported semi orthogonal cubic Bspline wavelets for solving nonlinear Volterra-Fredholm integral equations is proposed. Properties of B-spline wavelets and function approximation by them are first presented and the exponential convergence rate of the approximation, Ο(2 -4j ), is proved. For solving the nonlinear Volterra-Fredholm integral eq...

full text

My Resources

Save resource for easier access later


Journal title:
computational methods for differential equations

جلد ۵، شماره ۲، صفحات ۸۸-۱۰۲

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023