B-Spline collocation method for linear and nonlinear Fredholm and Volterra integro-differential equations

Autor:	E Babolian, Zahra Mahmoodi, Jalil Rashidinia
Rok vydání:	2013
Předmět:	Applied Mathematics Numerical analysis Mathematical analysis Fredholm integral equation Volterra integral equation Integral equation Fredholm theory Gauss–Kronrod quadrature formula symbols.namesake Collocation method symbols Nyström method Analysis Mathematics
Zdroj:	Applicable Analysis. 92:1787-1802
ISSN:	1563-504X 0003-6811
DOI:	10.1080/00036811.2012.702209
Popis:	A numerical method based on quintic B-spline has been developed to solve the linear and nonlinear Fredholm and Volterra integro-differential equations up to order 4. The solution and its derivatives are collocated by quintic B-spline and then the integral equation is approximated by the 4-points Gauss–Turan quadrature formula with respect to the weight function Legendre. 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 which show that our method is accurate.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6ecaa9d9ae9d7a5c958bd5c290c2cb62 https://doi.org/10.1080/00036811.2012.702209 Zobrazit plný text záznamu