Numerical Performance of Half-Sweep SOR Method for Solving Second Order Composite Closed Newton-Cotes System

Muthuvalu, Mohana Sundaram; Aruchunan, Elayaraja; Md Akhir, Mohd Kamalrulzaman; Sulaiman, Jumat; Abdul Karim, Samsul Ariffin
October 2014
AIP Conference Proceedings;2014, Vol. 1621, p123
Conference Proceeding
In this paper, application of the Half-Sweep Successive Over-Relaxation (HSSOR) iterative method is extended by solving second order composite closed Newton-Cotes quadrature (2-CCNC) system. The performance of HSSOR method in solving 2-CCNC system is comparatively studied by their application on linear Fredholm integral equations of the second kind. The derivation and implementation of the method are discussed. In addition, numerical results by solving two test problems are included and compared with the standard Gauss-Seidel (GS) and Successive Over-Relaxation (SOR) methods. Numerical results demonstrate that HSSOR method is an efficient method among the tested methods.


Related Articles

  • Numerical Solution And Error Estimation Of Fuzzy Fredholm Integral Equation Using Fuzzy Bernstein Polynomials. Ezzati, R.; Ziari, S. // Journal of Applied Sciences Research;Sep2011, Vol. 7 Issue 9, p2072 

    In this paper, a new approach based on fuzzy Bernstein polynomials is proposed for solving fuzzy Fredholm integral equations of the second kind (FFIE-2). The error estimation of the proposed method for approximating the solution of FFIE-2, is proved in terms of the modulus of continuity....

  • Solving a System of Volterra-Fredholm Integral Equations of the Second kind via Fixed Point Method. Hasan, Talaat I.; Salleh, Shaharuddin; Sulaiman, Nejmaddin A. // AIP Conference Proceedings;2015, Vol. 1691, p1 

    In this paper, we consider the system of Volterra-Fredholm integral equations of the second kind (SVFI-2). We propose fixed point method (FPM) to solve SVFI-2. In addition, a few theorems and new algorithm is introduced. They are supported by numerical examples and simulations using Matlab. The...

  • Optimal Homotopy Asymptotic Method for Solving the Linear Fredholm Integral Equations of the First Kind. Almousa, Mohammad; Ismail, Ahmad // Abstract & Applied Analysis;2013, p1 

    The aim of this study is to present the use of a semi analytical method called the optimal homotopy asymptotic method (OHAM) for solving the linear Fredholm integral equations of the first kind. Three examples are discussed to show the ability of the method to solve the linear Fredholm integral...

  • Numerical Solution of Functional Integral and Integro-Differential Equations by Using B-Splines. Derili Gherjalar, Hesam-Eldien; Mohammadikia, Hossein // Applied Mathematics;Dec2012, Vol. 3 Issue 12, p1940 

    This paper describes an approximating solution, based on Lagrange interpolation and spline functions, to treat functional integral equations of Fredholm type and Volterra type. This method extended to functional integral and integro-differential equations. For showing efficiency of the method we...

  • On finite basis set implementation of the exchange-only optimized effective potential method. Glushkov, Vitaly n.; Fesenko, Sergiy I.; Polatoglou, Hariton M. // Theoretical Chemistry Accounts: Theory, Computation, & Modeling;Nov2009, Vol. 124 Issue 5/6, p365 

    In this paper, we analyze a structure of the basis set optimized effective potential (OEP) equations from the Fredholm alternative point of view and present one of possible numerical schemes to solve the OEP equation in a stable manner. The solution is constructed as a sum of a unique solution...

  • Numerical Solution of Fredholm Integral Equations with Diagonal and Boundary Singularities. Pedas, Arvet; Vainikko, Gennadi // AIP Conference Proceedings;9/6/2007, Vol. 936 Issue 1, p405 

    We propose a smoothing technique associated with classical collocation and Galerkin methods for solving linear weakly singular Fredholm integral equations of the second kind with kernels which, in addition to a diagonal singularity, may have some singularities near the boundary of the interval...

  • The Solutions of Three Dimensional Fredholm Integral Equations using Adomian Decomposition Method. Almousa, Mohammad // AIP Conference Proceedings;2016, Vol. 1739 Issue 1, p020053-1 

    This paper presents the solutions of three dimensional Fredholm integral equations by using Adomian decomposition method (ADM). Some examples of these types of equations are tested to show the reliability of the technique. The solutions obtained by ADM give an excellent agreement with exact...

  • Numerical Methods for Solving Fredholm Integral Equations of Second Kind. Ray, S. Saha; Sahu, P. K. // Abstract & Applied Analysis;2013, p1 

    Integral equation has been one of the essential tools for various areas of applied mathematics. In this paper, we review different numerical methods for solving both linear and nonlinear Fredholm integral equations of second kind. The goal is to categorize the selected methods and assess their...

  • To the boundary value problem of ordinary differential equations. Aisagaliev, Serikbay; Zhunussova, Zhanat // Electronic Journal of Qualitative Theory of Differential Equatio;2015, Issue 55-59, p1 

    A method for solving of a boundary value problem for ordinary differential equations with boundary conditions at phase and integral constraints is proposed. The base of the method is an immersion principle based on the general solution of the first order Fredholm integral equation which allows...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics