Hybrid Orthonormal Bernstein and Block-Pulse Functions for solving nonlinear Volterra integral equations
Journal Title: Scholars Journal of Physics, Mathematics and Statistics - Year 2017, Vol 4, Issue 2
Abstract
In this paper, A numerical method based on an set of general, orthonormal Bernstein functions coupled with Block-Pulse Functions on the interval [0,1] to solve non linear Volterra integral equations of the second kind, numerically. First we introduced the proposed hybrid method, then we used it to transform the integral equations to the system of algebraic equations. The obtained numerical results of the proposed methods are compared with exact solution to show the convergence and advantages of the new method. the operational matrix of integration together with Newton-Cotes nodes are utilized to reduce the computation of nonlinear Volterra integral equations into some algebraic equations, the numerical example illustrate the efficiency and accuracy of this method.
Authors and Affiliations
Mohamed A. Ramadan, Mohamed R. Ali
Keywords
Related Articles
- EP ID EP385712
- DOI -
- Views 65
- Downloads 0
Steady Plane Couette Flow of Viscous incompressible Fluid between two Porous Parallel Plates in magnetic field
In this paper we have investigated the steady plane Couette flow of viscous incompressible fluid between two porous parallel plates in magnetic field. We have studied the velocity, average velocity, shearing stress, skin...
Proportion Test of Shale Similar Materials
Due to the unconventional reservoir core is difficult to obtain in great quantities, in order to do more groups of experiments for crack propagation law, need to be processed similar material specimen experiment. On the...
On The Ternary Quadratic Diophantine Equation X2+Y2=37Z2
The Ternary Quadratic Diophantine Equation given by is analyzed for its patterns of non-zero distinct integer solutions. A few interesting relations between the solutions and special polygonal and pyramidal numbers ar...
Using the method of undetermined coefficients for solving general term formula of fractional linear recursive sequence
In this paper, using the method of undetermined coefficients, by constructing auxiliary series, fractional linear recursive sequence is derived for the general term formula of under various circumstances．.
A Simulation Study of Effects of Collinearity on Forecasting of Bivariate Time Series Data
Vector Autoregression (VAR) and Bayesian VAR (BVAR) were first introduced in the early eighties of the last century and have since proven to be practical and effective economic forecasting methodologies. This paper tends...