Approximation solution of nonlinear Stratonovich Volterra integral equations by applying modification of hat functions

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• 作者：Farshid Mirzaee ; ^{f.mirzaee@malayeru.ac.ir" class="auth_mail" title="E-mail the corresponding author} ; ^{f.mirzaee@alumni.iust.ac.ir" class="auth_mail" title="E-mail the corresponding author} ; Elham Hadadiyan
• 关键词：65C30 ; 65C20 ; 60H20 ; 60H35 ; 68U20
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2016
• 出版时间：15 August 2016
• 年：2016
• 卷：302
• 期：Complete
• 页码：272-284
• 全文大小：485 K

文摘

In this paper, we studied the Hyers–Ulam–Rassias stability for nonlinear Stratonovich Volterra integral equations. Also, we obtained stochastic operational matrix of modification of hat functions (MHFs) to numerically solve the nonlinear Stratonovich Volterra integral equations. The main advantage of the proposed method is that it transforms problems under consideration into nonlinear systems of algebraic equations which can be simply solved. Finally, numerical examples are presented to certify convergence and accuracy of the method.