A numerical solution of linear volterra integral equations of Second Kind with weakly singular kernel using the fifth order of non- polynomial spline functions


Abstract in English

In this work , The fifth order non-polynomial spline functions is used to solve linear volterra integral equations with weakly singular kernel . Numerical examples are presented to illustrate the applications of this method and to compare the computed results with other numerical methods.

References used

COLLINS,P.j 2006-Differential and Integral equations. Oxford University Press Inc , New York
DIOGO,T , FORD, N.J , LIMA,P and VALTCHEV,S 2006- Numerical method for a Volterra Integral Equation with Non- Smooth Solutions ,Journal of Computational And Applied Mathematics, pp. 412-423
DIOGO,T , LIMA,P 2008-Superconvergence of collocation methods for a class of weakly singular volterra integral equations ,Journal of Computational And Applied Mathematics, pp. 307-316

Download