On the solution of a class of the reduced wave equation and the Riccati differential equation

Misir A.

APPLIED MATHEMATICS AND COMPUTATION, cilt.216, sa.5, ss.1375-1382, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Derleme
  • Cilt numarası: 216 Sayı: 5
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.amc.2010.03.008
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1375-1382
  • Anahtar Kelimeler: Differential equation, Riccati differential equation, Acoustic scattering problem, Helmholtz equation, HELMHOLTZ-EQUATION
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper we present an "iteration" technique for a class of differential equation having the form z '' = lambda z, where lambda is a function in C(infinity). We show that we can construct not only the general solution of the reduced wave equation but also the general solution of the Riccati differential equation by using this iteration technique if the given function lambda is satisfies the condition