Iterative reproducing kernel Hilbert spaces method for Riccati differential equations


Sakar M. G.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.309, ss.163-174, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 309
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1016/j.cam.2016.06.029
  • Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
  • Sayfa Sayıları: ss.163-174

Özet

This paper presents iterative reproducing kernel Hilbert spaces method (IRKHSM) to obtain the numerical solutions for Riccati differential equations with constant and variable coefficients. Representation of the exact solution is given in the W-2(2) [0, X] reproducing kernel space. Numerical solution of Riccati differential equations is acquired by interrupting the n-term of the exact solution. Also, the error of the numerical solution is monotone decreasing in terms of the norm of W-2(2)[0, X]. The outcomes from numerical examples show that the present iterative algorithm is very effective and convenient. (C) 2016 Elsevier B.V. All rights reserved.