Comp. Appl. Math. https://doi.org/10.1007/s40314-018-0653-z A numerical technique for solving functional integro-differential equations having variable bounds 1 2 3 Elçin Gökmen · Burcu Gürbüz · Mehmet Sezer Received: 26 December 2017 / Revised: 11 May 2018 / Accepted: 19 May 2018 © SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2018 Abstract In this paper, a collocation method based on Taylor polynomials is presented to solve the functional delay integro-differential equations with variable bounds. Using this method, we transform the functional equations to a system of linear algebraic equations. Thus, the unknown coefﬁcients of the approximate solution are determined by solving this system. An error analysis technique based on residual function is developed to improve the numerical solution. Some numerical examples are given to illustrate the accuracy and applicability of the method. Finally, the data are examined according to the residual error estimation. All numerical computations have been performed on the computer programs. Keywords Functional integro-differential equations · Taylor polynomials · Collocation points · Approximate solutions · Residual error technique Mathematics Subject Classiﬁcation 45J05 PACS 41A58 · 65L60 · 41A55 · 65G99 Communicated by Antonio José Silva Neto. B Burcu Gürbüz firstname.lastname@example.org Elçin Gökmen email@example.com Mehmet Sezer firstname.lastname@example.org Department
Computational and Applied Mathematics – Springer Journals
Published: May 30, 2018
It’s your single place to instantly
discover and read the research
that matters to you.
Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.
All for just $49/month
Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly
Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.
Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.
Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.
All the latest content is available, no embargo periods.
“Hi guys, I cannot tell you how much I love this resource. Incredible. I really believe you've hit the nail on the head with this site in regards to solving the research-purchase issue.”Daniel C.
“Whoa! It’s like Spotify but for academic articles.”@Phil_Robichaud
“I must say, @deepdyve is a fabulous solution to the independent researcher's problem of #access to #information.”@deepthiw
“My last article couldn't be possible without the platform @deepdyve that makes journal papers cheaper.”@JoseServera