Solution of systems of integro-differential equations using numerical treatment of fixed point

详细信息    查看全文

• 作者：M.I. Berenguer ^{maribel@ugr.es} ; D. Gá ; mez ; ^{domingo@ugr.es} ; A.J. Ló ; pez Linares ^{alopezl@ugr.es}
• 关键词：45J05 ; 45L10 ; 65R05
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：1 May 2017
• 年：2017
• 卷：315
• 期：Complete
• 页码：343-353
• 全文大小：479 K
• 卷排序：315

文摘

We approximate the solution of a system of nonlinear mixed Fredholm–Volterra integro-differential equations of the second kind, using fixed point techniques and Schauder bases in certain Banach spaces. The convergence and error are studied. Several numerical examples are given, and the obtained numerical approximations are compared with the corresponding exact solutions.