A numerical approach for solving Volterra type functional integral equations with variable bounds and mixed delays

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• 作者：Elcin Gokmen^a ; ^{egokmen@mu.edu.tr" class="auth_mail" title="E-mail the corresponding author} ; Gamze Yuksel^a ; ^{ngamze@mu.edu.tr" class="auth_mail" title="E-mail the corresponding author} ; Mehmet Sezer^b ; ^{mehmet.sezer@cbu.edu.tr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Integro functional equations ; Taylor polynomials ; Approximate solutions ; Collocation method
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：311
• 期：Complete
• 页码：354-363
• 全文大小：766 K

文摘

In this paper, the Taylor collocation method has been used the integro functional equation with variable bounds. This method is essentially based on the truncated Taylor series and its matrix representations with collocation points. We have introduced the method to solve the functional integral equations with variable bounds. We have also improved error analysis for this method by using the residual function to estimate the absolute errors. To illustrate the pertinent features of the method numeric examples are presented and results are compared with the other methods. All numerical computations have been performed on the computer algebraic system Maple 15.