Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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NUMERICAL SOLUTION OF A CLASS OF THE NONLINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS

  • Saeedi, L. (Department of mathematics, Shahed University) ;
  • Tari, A. (Department of mathematics, Shahed University) ;
  • Masuleh, S.H. Momeni (Department of mathematics, Shahed University)
  • Received : 2012.05.19
  • Accepted : 2012.07.19
  • Published : 2013.01.30
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Abstract

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.

Keywords

References

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