Newton-Raphson based modified Laplace Adomian decomposition method for solving quadratic Riccati differential equations

@inproceedings{Mishra2016NewtonRaphsonBM,
  title={Newton-Raphson based modified Laplace Adomian decomposition method for solving quadratic Riccati differential equations},
  author={Vinod Mishra and Dimple Rani},
  year={2016}
}
Numerical Laplace transform method is applied to approximate the solution of nonlinear (quadratic) Riccati differential equations mingled with Adomian decomposition method. A new technique is proposed in this work by reintroducing the unknown function in Adomian polynomial with that of well known NewtonRaphson formula. The solutions obtained by the iterative algorithm are exhibited in an infinite series. The simplicity and efficacy of method is manifested with some examples in which comparisons… CONTINUE READING

Figures, Tables, and Topics from this paper.

References

Publications referenced by this paper.
SHOWING 1-2 OF 2 REFERENCES

Int

  • B. Batiha
  • J. Appl. Math. Res., 4, 24-29(). , Web of…
  • 2016

Int

  • A. Kumar, R. D. Pankaj
  • Scholarly Res. Netw.,
  • 2012
2 Excerpts

Similar Papers

Loading similar papers…