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NUMERICAL SOLUTION OF A CLASS OF THE NONLINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS
Saeedi, L.,Tari, A.,Masuleh, S.H. Momeni The Korean Society for Computational and Applied M 2013 Journal of applied mathematics & informatics Vol.31 No.1
In this paper, we develop the operational Tau method for solving nonlinear Volterra integro-differential equations of the second kind. The existence and uniqueness of the problem is provided. Here, we show that the nonlinear system resulted from the operational Tau method has a semi triangular form, so it can be solved easily by the forward substitution method. Finally, the accuracy of the method is verified by presenting some numerical computations.
Numerical solution of a class of the Nonlinear Volterra Integro-Differential Equations
Leila Saeedi,Abolfazl Tari,Sayyed Hodjatollah Momeni Masuleh 한국전산응용수학회 2013 Journal of applied mathematics & informatics Vol.31 No.1
In this paper, we develop the operational Tau method for solving nonlinear Volterra integro-differential equations of the second kind. The existence and uniqueness of the problem is provided. Here, we show that the nonlinear system resulted from the operational Tau method has a semi triangular form, so it can be solved easily by the forward substitution method.\\Finally, the accuracy of the method is verified by presenting some numerical computations.