International Journal of Computer Mathematics, Volume 87, Issue 5 (2010)

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International Journal of Computer Mathematics, Volume 87, Issue 5 (2010)

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Section A

Article
Generalized KPCA by adaptive rules in feature space
Yanwei Pang, Lei Wang & Yuan Yuan
Pages: 956-968
Published online: 10 May 2010
AbstractforGeneralized KPCA by adaptive rules in feature space | Full Text | References | PDF (386 KB)
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Article
Determination of a source term in a heat equation
Jinbo Liu, Baiyu Wang & Zhenhai Liu
Pages: 969-975
Published online: 10 May 2010
AbstractforDetermination of a source term in a heat equation | Full Text | References | PDF (210.4 KB)
  • 193 Views
  • 9 CrossRef citations
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Article
On the spectral radius of H-shape trees
Shengbiao Hu
Pages: 976-979
Published online: 10 May 2010
AbstractforOn the spectral radius of H-shape trees | Full Text | References | PDF (52.2 KB)
  • 53 Views
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Section B

Article
Quasi-nodal splines
Ralf Siewer
Pages: 980-991
Published online: 10 May 2010
AbstractforQuasi-nodal splines | Full Text | References | PDF (181.2 KB)
  • 68 Views
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Article
He's homotopy perturbation method for nonlinear differential-difference equations
Ahmet Yıldırım
Pages: 992-996
Published online: 29 Oct 2008
AbstractforHe's homotopy perturbation method for nonlinear differential-difference equations | Full Text | References | PDF (954.7 KB)
  • 349 Views
  • 40 CrossRef citations
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Article
Computation of two time-dependent coefficients in a parabolic partial differential equation subject to additional specifications
Abbas Saadatmandi & Mehdi Dehghan
Pages: 997-1008
Published online: 10 May 2010
AbstractforComputation of two time-dependent coefficients in a parabolic partial differential equation subject to additional specifications | Full Text | References | PDF (164.2 KB)
  • 123 Views
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Article
Local error analysis of Evans–Sanugi, nonlinear one-step methods based on θ-means
Francisco R. Villatoro
Pages: 1009-1022
Published online: 10 May 2010
AbstractforLocal error analysis of Evans–Sanugi, nonlinear one-step methods based on θ-means | Full Text | References | PDF (98.3 KB)
  • 67 Views
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Article
Extension of Murakami's high-order non-linear solver to multiple roots
B. Neta
Pages: 1023-1031
Published online: 10 May 2010
AbstractforExtension of Murakami's high-order non-linear solver to multiple roots | Full Text | References | PDF (69.9 KB)
  • 128 Views
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Article
Applications of the Conjugate Gradient method in optimal surface parameterizations
Zhongxiao Jia
Pages: 1032-1039
Published online: 10 May 2010
AbstractforApplications of the Conjugate Gradient method in optimal surface parameterizations | Full Text | References | PDF (66.9 KB)
  • 91 Views
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Preface

Introduction
Analytical methods: the next frontier towards nonlinear science
Mehdi Dehghan, Ji-Huan He & Abdul-Majid Wazwaz
Pages: 1040-1041
Published online: 10 May 2010
CitationforAnalytical methods: the next frontier towards nonlinear science | Full Text | References | PDF (20.8 KB)
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Free Access

Section B Special Section: New Analytical Methods

Article
Finding the optimal control of linear systems via He's variational iteration method
S. A. Yousefi, Mehdi Dehghan & A. Lotfi
Pages: 1042-1050
Published online: 10 May 2010
AbstractforFinding the optimal control of linear systems via He's variational iteration method | Full Text | References | PDF (120.5 KB)
  • 220 Views
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Article
Multi-point boundary value problem for optimal bridge design
Fazhan Geng & Minggen Cui
Pages: 1051-1056
Published online: 10 May 2010
AbstractforMulti-point boundary value problem for optimal bridge design | Full Text | References | PDF (94 KB)
  • 150 Views
  • 18 CrossRef citations
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Article
Analytical approximate solutions of the fractional convection–diffusion equation with nonlinear source term by He's homotopy perturbation method
Shaher Momani & Ahmet Yıldırım
Pages: 1057-1065
Published online: 10 May 2010
AbstractforAnalytical approximate solutions of the fractional convection–diffusion equation with nonlinear source term by He's homotopy perturbation method | Full Text | References | PDF (901.7 KB)
  • 367 Views
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Article
Periodic and solitary wave solutions of the attractive and repulsive nonlinear Schrödinger equation
Filiz Taşcan & Ahmet Bekir
Pages: 1066-1071
Published online: 10 May 2010
AbstractforPeriodic and solitary wave solutions of the attractive and repulsive nonlinear Schrödinger equation | Full Text | References | PDF (49.6 KB)
  • 71 Views
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Article
Series solutions of a fractional oscillator by means of the homotopy perturbation method
Ahmet Yıldırım & Shaher Momani
Pages: 1072-1082
Published online: 10 May 2010
AbstractforSeries solutions of a fractional oscillator by means of the homotopy perturbation method | Full Text | References | PDF (175.7 KB)
  • 146 Views
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Article
Periodic and solitary waves in systems of coherently coupled nonlinear envelope equations
H. S. Chiu & K. W. Chow
Pages: 1083-1093
Published online: 10 May 2010
AbstractforPeriodic and solitary waves in systems of coherently coupled nonlinear envelope equations | Full Text | References | PDF (957.9 KB)
  • 92 Views
  • 6 CrossRef citations
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Article
A symbolic algorithm for computing recursion operators of nonlinear partial differential equations
D. E. Baldwin & W. Hereman
Pages: 1094-1119
Published online: 10 May 2010
AbstractforA symbolic algorithm for computing recursion operators of nonlinear partial differential equations | Full Text | References | PDF (163.1 KB)
  • 208 Views
  • 62 CrossRef citations
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Article
On the convergence of variational iteration method for nonlinear coupled system of partial differential equations
N. H. Sweilam & M. M. Khader
Pages: 1120-1130
Published online: 10 May 2010
AbstractforOn the convergence of variational iteration method for nonlinear coupled system of partial differential equations | Full Text | References | PDF (260.2 KB)
  • 285 Views
  • 23 CrossRef citations
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Article
The variational iteration method for solving linear and nonlinear Volterra integral and integro-differential equations
Abdul-Majid Wazwaz
Pages: 1131-1141
Published online: 10 May 2010
AbstractforThe variational iteration method for solving linear and nonlinear Volterra integral and integro-differential equations | Full Text | References | PDF (64.4 KB)
  • 519 Views
  • 21 CrossRef citations
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Article
A new analytical method for solving systems of Volterra integral equations
Hossein Aminikhah & Jafar Biazar
Pages: 1142-1157
Published online: 10 May 2010
AbstractforA new analytical method for solving systems of Volterra integral equations | Full Text | References | PDF (89.8 KB)
  • 191 Views
  • 14 CrossRef citations
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Article
The multi-parameter homotopy harmonic balance method for steady state problems
A. Y.T. Leung, Z. Guo & T. C. Fung
Pages: 1158-1177
Published online: 10 May 2010
AbstractforThe multi-parameter homotopy harmonic balance method for steady state problems | Full Text | References | PDF (541.1 KB)
  • 105 Views
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Article
Soliton solution for an inhomogeneous highly dispersive media with a dual-power nonlinearity law
Houria Triki & Abdul-Majid Wazwaz
Pages: 1178-1185
Published online: 10 May 2010
AbstractforSoliton solution for an inhomogeneous highly dispersive media with a dual-power nonlinearity law | Full Text | References | PDF (56 KB)
  • 109 Views
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Article
A new homotopy perturbation method for system of nonlinear integro-differential equations
Hossein Aminikhah & Maziar Salahi
Pages: 1186-1194
Published online: 10 May 2010
AbstractforA new homotopy perturbation method for system of nonlinear integro-differential equations | Full Text | References | PDF (69.4 KB)
  • 101 Views
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