BibTex RIS Kaynak Göster

Numerical solving for nonlinear using higher order homotopy Taylor-perturbation

Yıl 2013, Cilt: 1 Sayı: 1, 24 - 28, 01.04.2013

Nor Hanim Abd Rahman Arsmah Ibrahim Mohd İdris Jayes

Öz

Rootfinding is a classical problem that still remains an interest to many researchers. A series of hybrid methods called Higher Order Homotopy Taylor-perturbation method via start-system functions (HTTPss) are implemented to give approximate solutions for nonlinear equations, . The techniques serve as alternative methods for obtaining approximate solutions for different types of nonlinear equations. Thus, this paper presents an analysis on numerical comparison between the classical Newton Raphson (CNR), Homotopy Perturbation method (HTPss) and Higher Order Homotopy Taylor-perturbation via start-system (HHTPss). A computational system Maple14 is used for this paper. Numerical and Illustrative results reveal that HHTPss methods are acceptably accurate and applicable

Anahtar Kelimeler

HHTP NONLINEAR START SYSTEM

Kaynakça

  • Chun,C., Bae, H.J. & Neta, B. 2009. New families of nonlinear third-order solvers for finding multiple roots. Computer and Mathematics with Applications 58:1574-1582.
  • He, J-H. 1999. Homotopy perturbation technique. Computer Methods in Applied Mechanic and Engineering 178:257-262.
  • He, J-H. 2009. An introduction to the homotopy perturbation method. Computer and Mathematics with applications. 57(3):410-412. Doi:1016/j.camwa.2008.06.003
  • Palancz, B., Awange, J.L & Lewis, R.H. 2010. Linear Homotopy Solution of Nonlinear Systems of Equations in Geodesy. J. Geod. Doi 1007/s100190-009-0346-x.
  • Pakdemirli, M. & Boyaci, H. 2007. Generation of root finding algorithms via perturbation theory and some formulas. Applied Mathematics and Computation, 184:783-788.
  • Rafig, A & Awais, M. 2008. Convergence on the Homotopy Continuation Method. International Journal of Applications Mathematics and Mechanics, 4(6):62-70.
  • Saeed, R.K. & Khthr, F.W. 2010. Three new iterative methods for solving nonlinear equations. Australian Journal of Basic & Applied Sciences 4(6):1022-1030.
  • S.G. Li, L.Z.Cheng & B.Neta. 2010. Some fourth-order nonlinear solvers with closed formulae for multiple roots. Computers and Mathematics with Applications 59:126-135

Numerical solving for nonlinear using higher order homotopy Taylor-perturbation

Yıl 2013, Cilt: 1 Sayı: 1, 24 - 28, 01.04.2013

Nor Hanim Abd Rahman Arsmah Ibrahim Mohd İdris Jayes

Öz

Kaynakça

  • Chun,C., Bae, H.J. & Neta, B. 2009. New families of nonlinear third-order solvers for finding multiple roots. Computer and Mathematics with Applications 58:1574-1582.
  • He, J-H. 1999. Homotopy perturbation technique. Computer Methods in Applied Mechanic and Engineering 178:257-262.
  • He, J-H. 2009. An introduction to the homotopy perturbation method. Computer and Mathematics with applications. 57(3):410-412. Doi:1016/j.camwa.2008.06.003
  • Palancz, B., Awange, J.L & Lewis, R.H. 2010. Linear Homotopy Solution of Nonlinear Systems of Equations in Geodesy. J. Geod. Doi 1007/s100190-009-0346-x.
  • Pakdemirli, M. & Boyaci, H. 2007. Generation of root finding algorithms via perturbation theory and some formulas. Applied Mathematics and Computation, 184:783-788.
  • Rafig, A & Awais, M. 2008. Convergence on the Homotopy Continuation Method. International Journal of Applications Mathematics and Mechanics, 4(6):62-70.
  • Saeed, R.K. & Khthr, F.W. 2010. Three new iterative methods for solving nonlinear equations. Australian Journal of Basic & Applied Sciences 4(6):1022-1030.
  • S.G. Li, L.Z.Cheng & B.Neta. 2010. Some fourth-order nonlinear solvers with closed formulae for multiple roots. Computers and Mathematics with Applications 59:126-135
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Bölüm Articles
Yazarlar

Nor Hanim Abd Rahman Bu kişi benim

Arsmah Ibrahim Bu kişi benim

Mohd İdris Jayes Bu kişi benim

Yayımlanma Tarihi 1 Nisan 2013
Yayımlandığı Sayı Yıl 2013 Cilt: 1 Sayı: 1

Kaynak Göster

APA Rahman, N. H. A., Ibrahim, A., & Jayes, M. İ. (2013). Numerical solving for nonlinear using higher order homotopy Taylor-perturbation. New Trends in Mathematical Sciences, 1(1), 24-28.
AMA Rahman NHA, Ibrahim A, Jayes Mİ. Numerical solving for nonlinear using higher order homotopy Taylor-perturbation. New Trends in Mathematical Sciences. Nisan 2013;1(1):24-28.
Chicago Rahman, Nor Hanim Abd, Arsmah Ibrahim, ve Mohd İdris Jayes. “Numerical Solving for Nonlinear Using Higher Order Homotopy Taylor-Perturbation”. New Trends in Mathematical Sciences 1, sy. 1 (Nisan 2013): 24-28.
EndNote Rahman NHA, Ibrahim A, Jayes Mİ (01 Nisan 2013) Numerical solving for nonlinear using higher order homotopy Taylor-perturbation. New Trends in Mathematical Sciences 1 1 24–28.
IEEE N. H. A. Rahman, A. Ibrahim, ve M. İ. Jayes, “Numerical solving for nonlinear using higher order homotopy Taylor-perturbation”, New Trends in Mathematical Sciences, c. 1, sy. 1, ss. 24–28, 2013.
ISNAD Rahman, Nor Hanim Abd vd. “Numerical Solving for Nonlinear Using Higher Order Homotopy Taylor-Perturbation”. New Trends in Mathematical Sciences 1/1 (Nisan 2013), 24-28.
JAMA Rahman NHA, Ibrahim A, Jayes Mİ. Numerical solving for nonlinear using higher order homotopy Taylor-perturbation. New Trends in Mathematical Sciences. 2013;1:24–28.
MLA Rahman, Nor Hanim Abd vd. “Numerical Solving for Nonlinear Using Higher Order Homotopy Taylor-Perturbation”. New Trends in Mathematical Sciences, c. 1, sy. 1, 2013, ss. 24-28.
Vancouver Rahman NHA, Ibrahim A, Jayes Mİ. Numerical solving for nonlinear using higher order homotopy Taylor-perturbation. New Trends in Mathematical Sciences. 2013;1(1):24-8.