Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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SOLUTION OF RICCATI TYPES MATRIX DIFFERENTIAL EQUATIONS USING MATRIX DIFFERENTIAL TRANSFORM METHOD

  • Abazari, Reza (Department of Mathematics, University of Mohaghegh Ardabili)
  • Published : 2009.09.30
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Abstract

In this work, we successfully extended dimensional differential transform method (DTM), by presenting and proving some new theorems, to solve the non-linear matrix differential Riccati equations(first and second kind of Riccati matrix differential equations). This technique provides a sequence of matrix functions which converges to the exact solution of the problem. Examples show that the method is effective.

Keywords

References

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