SPLINE COLLOCATION FOR FREDHOLM AND VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS

International Journal of Mathematical Modelling & Computations

مقاله 8، دوره 4، 3 (SUMMER)، فروردین 2014، صفحه 289-298   

نویسندگان

Nehzat Ebrahimi؛ Jalil Rashidinia

چکیده

A collocation procedure is developed for the linear and nonlinear Fredholm and Volterra
integro-differential equations, using the globally defined B-spline and auxiliary basis functions.The solution
is collocated by cubic B-spline and the integrand is approximated by the Newton-Cotes formula.
The error analysis of proposed numerical method is studied theoretically. Numerical results are given to
illustrate the efficiency of the proposed method which shows that our method can be applied for large
values of N. The results are compared with the results obtained by other methods to illustrate the accuracy
and the implementation of our method.
 

کلیدواژه‌ها

Fredholm and Volterra integro-differential equations؛ Cubic B-spline؛ Newton-Cotes formula؛ Convergence analysis