International Journal of Computer Mathematics, Volume 95, Issue 6-7 (2018)

Browse this journal
Sample our Bioscience journals, sign in here to start your access, Latest two full volumes FREE to you for 14 days

International Journal of Computer Mathematics, Volume 95, Issue 6-7 (2018)

See all volumes and issues
Vol 101, 2024 Vol 100, 2023 Vol 99, 2022 Vol 98, 2021 Vol 97, 2020 Vol 96, 2019 Volume 95, 2018 Vol 94, 2017 Vol 93, 2016 Vol 92, 2015 Vol 91, 2014 Vol 90, 2013 Vol 89, 2012 Vol 88, 2011 Vol 87, 2010 Vol 86, 2009 Vol 85, 2008 Vol 84, 2007 Vol 83, 2006 Vol 82, 2005 Vol 81, 2004 Vol 80, 2003 Vol 79, 2002 Vol 78, 2001 Vol 77, 2001 Vol 76, 2000-2001 Vol 75, 2000 Vol 74, 2000 Vol 73, 1999-2000 Vol 72, 1999 Vol 71, 1999 Vol 70, 1998-1999 Vol 69, 1998 Vol 68, 1998 Vol 67, 1998 Vol 66, 1998 Vol 65, 1997 Vol 64, 1997 Vol 63, 1997 Vol 62, 1996 Vol 61, 1996 Vol 60, 1996 Vol 59, 1995-1996 Vol 58, 1995 Vol 57, 1995 Vol 56, 1995 Vol 55, 1995 Vol 54, 1994 Vol 53, 1994 Vol 52, 1994 Vol 51, 1994 Vol 50, 1994 Vol 49, 1993 Vol 48, 1993 Vol 47, 1993 Vol 46, 1992 Vol 45, 1992 Vol 44, 1992 Vol 43, 1992 Vol 42, 1992 Vol 41, 1991-1992 Vol 40, 1991 Vol 39, 1991 Vol 38, 1991 Vol 37, 1990 Vol 36, 1990 Vol 35, 1990 Vol 34, 1990 Vol 33, 1990 Vol 32, 1990 Vol 31, 1989-1990 Vol 30, 1989 Vol 29, 1989 Vol 28, 1989 Vol 27, 1989 Vol 26, 1988-1989 Vol 25, 1988 Vol 24, 1988 Vol 23, 1987-1988 Vol 22, 1987 Vol 21, 1987 Vol 20, 1986 Vol 19, 1986 Vol 18, 1985-1986 Vol 17, 1985 Vol 16, 1984 Vol 15, 1984 Vol 14, 1983 Vol 13, 1983 Vol 12, 1982-1983 Vol 11, 1982 Vol 10, 1981-1982 Vol 9, 1981 Vol 8, 1980 Vol 7, 1979 Vol 6, 1977-1978 Vol 5, 1975 Vol 4, 1974 Vol 3, 1972 Vol 2, 1968 Vol 1, 1964
Download citations Download PDFs Download issue

Advances on Computational Fractional Partial Differential Equations

Preface

Introduction
Preface
Khaled M. Furati, Abdul Q. Khaliq, Changpin Li & Mohsen Zayernouri
Page: 1047
Published online: 03 Apr 2018
CitationforPreface | Full Text | PDF (108 KB)
  • 654 Views
  • 1 CrossRef citations
  • 0Altmetric
Free Access

Reviews

Review
Numerical methods for fractional partial differential equations
Changpin Li & An Chen
Pages: 1048-1099
Published online: 04 Jul 2017
AbstractforNumerical methods for fractional partial differential equations | Full Text | References | PDF (3.5 MB)
  • 2480 Views
  • 84 CrossRef citations
  • 0Altmetric

Original Articles

Article
Distributed-order wave equations with composite time fractional derivative
Živorad Tomovski & Trifce Sandev
Pages: 1100-1113
Published online: 24 Aug 2017
AbstractforDistributed-order wave equations with composite time fractional derivative | Full Text | References | PDF (1.3 MB)
  • 241 Views
  • 10 CrossRef citations
  • 0Altmetric
Article
The finite difference method for Caputo-type parabolic equation with fractional Laplacian: more than one space dimension
Ye Hu, Changpin Li & Hefeng Li
Pages: 1114-1130
Published online: 05 Oct 2017
AbstractforThe finite difference method for Caputo-type parabolic equation with fractional Laplacian: more than one space dimension | Full Text | References | PDF (1.8 MB)
  • 521 Views
  • 11 CrossRef citations
  • 0Altmetric
Article
Numerical method for the estimation of the fractional parameters in the fractional mobile/immobile advection–diffusion model
Bo Yu, Xiaoyun Jiang & Haitao Qi
Pages: 1131-1150
Published online: 05 Oct 2017
AbstractforNumerical method for the estimation of the fractional parameters in the fractional mobile/immobile advection–diffusion model | Full Text | References | PDF (1.5 MB)
  • 347 Views
  • 11 CrossRef citations
  • 0Altmetric
Article
A note on finite difference methods for nonlinear fractional differential equations with non-uniform meshes
Yanzhi Liu, Jason Roberts & Yubin Yan
Pages: 1151-1169
Published online: 09 Oct 2017
AbstractforA note on finite difference methods for nonlinear fractional differential equations with non-uniform meshes | Full Text | References | PDF (1.3 MB)
  • 516 Views
  • 30 CrossRef citations
  • 0Altmetric
Article
A new study on delay fractional variational problems
K. Sayevand, M. R. Rostami & H. S. Attari
Pages: 1170-1194
Published online: 15 Nov 2017
AbstractforA new study on delay fractional variational problems | Full Text | References | PDF (2.4 MB)
  • 111 Views
  • 3 CrossRef citations
  • 0Altmetric
Article
On variational properties of balanced central fractional derivatives
Yufeng Xu, Hai-Wei Sun & Qin Sheng
Pages: 1195-1209
Published online: 15 Nov 2017
AbstractforOn variational properties of balanced central fractional derivatives | Full Text | References | PDF (1.9 MB)
  • 171 Views
  • 8 CrossRef citations
  • 0Altmetric
Article
Iterative reproducing kernel method for nonlinear variable-order space fractional diffusion equations
X. Y. Li & B. Y. Wu
Pages: 1210-1221
Published online: 11 Nov 2017
AbstractforIterative reproducing kernel method for nonlinear variable-order space fractional diffusion equations | Full Text | References | PDF (1.3 MB)
  • 143 Views
  • 9 CrossRef citations
  • 0Altmetric
Article
Fractional diffusion equation-based image denoising model using CN–GL scheme
A. Abirami, P. Prakash & K. Thangavel
Pages: 1222-1239
Published online: 20 Nov 2017
AbstractforFractional diffusion equation-based image denoising model using CN–GL scheme | Full Text | References | PDF (4.3 MB)
  • 471 Views
  • 19 CrossRef citations
  • 0Altmetric
Article
Fourth-order methods for space fractional reaction–diffusion equations with non-smooth data
Khaled M. Furati, M. Yousuf & A. Q. M. Khaliq
Pages: 1240-1256
Published online: 18 Dec 2017
AbstractforFourth-order methods for space fractional reaction–diffusion equations with non-smooth data | Full Text | References | PDF (2.9 MB)
  • 321 Views
  • 22 CrossRef citations
  • 0Altmetric
Article
Fractional-order modelling and simulation of human ear
Maryam Naghibolhosseini & Glenis R. Long
Pages: 1257-1273
Published online: 27 Nov 2017
AbstractforFractional-order modelling and simulation of human ear | Full Text | References | PDF (2 MB)
  • 357 Views
  • 20 CrossRef citations
  • 0Altmetric
Article
Efficient time discretization scheme for nonlinear space fractional reaction–diffusion equations
O. S. Iyiola, E. O. Asante-Asamani, K. M. Furati, A. Q. M. Khaliq & B. A. Wade
Pages: 1274-1291
Published online: 29 Nov 2017
AbstractforEfficient time discretization scheme for nonlinear space fractional reaction–diffusion equations | Full Text | References | PDF (1.7 MB)
  • 304 Views
  • 8 CrossRef citations
  • 0Altmetric
Article
A Petrov–Galerkin spectral method for the linearized time fractional KdV equation
Hu Chen & Tao Sun
Pages: 1292-1307
Published online: 08 Dec 2017
AbstractforA Petrov–Galerkin spectral method for the linearized time fractional KdV equation | Full Text | References | PDF (1.5 MB)
  • 310 Views
  • 9 CrossRef citations
  • 0Altmetric
Article
Legendre pseudo-spectral method for optimal control problem governed by a time-fractional diffusion equation
Shengyue Li & Zhaojie Zhou
Pages: 1308-1325
Published online: 02 Jan 2018
AbstractforLegendre pseudo-spectral method for optimal control problem governed by a time-fractional diffusion equation | Full Text | References | PDF (2 MB)
  • 220 Views
  • 11 CrossRef citations
  • 0Altmetric
Article
A semi-analytic collocation method for space fractional parabolic PDE
S.Y. Reutskiy & Ji Lin
Pages: 1326-1339
Published online: 04 Jan 2018
AbstractforA semi-analytic collocation method for space fractional parabolic PDE | Full Text | References | PDF (1.1 MB)
  • 166 Views
  • 12 CrossRef citations
  • 0Altmetric
Article
Fractional pseudo-spectral methods for distributed-order fractional PDEs
Ehsan Kharazmi & Mohsen Zayernouri
Pages: 1340-1361
Published online: 30 Jan 2018
AbstractforFractional pseudo-spectral methods for distributed-order fractional PDEs | Full Text | References | PDF (2.1 MB)
  • 367 Views
  • 28 CrossRef citations
  • 0Altmetric
Article
An efficient method to compute solitary wave solutions of fractional Korteweg–de Vries equations
A. Durán
Pages: 1362-1374
Published online: 11 Jan 2018
AbstractforAn efficient method to compute solitary wave solutions of fractional Korteweg–de Vries equations | Full Text | References | PDF (1.4 MB)
  • 189 Views
  • 10 CrossRef citations
  • 0Altmetric
Article
Anomalous diffusion, dilation, and erosion in image processing
Andreas Kleefeld, Sophia Vorderwülbecke & Bernhard Burgeth
Pages: 1375-1393
Published online: 19 Jan 2018
AbstractforAnomalous diffusion, dilation, and erosion in image processing | Full Text | References | PDF (2.9 MB)
  • 314 Views
  • 3 CrossRef citations
  • 0Altmetric
Article
Effective numerical treatment of sub-diffusion equation with non-smooth solution
Zongze Yang, Jungang Wang, Yan Li & Yufeng Nie
Pages: 1394-1407
Published online: 05 Feb 2018
AbstractforEffective numerical treatment of sub-diffusion equation with non-smooth solution | Full Text | References | PDF (1.5 MB)
  • 232 Views
  • 2 CrossRef citations
  • 0Altmetric
Article
A second-order efficient L-stable numerical method for space fractional reaction–diffusion equations
M. Yousuf
Pages: 1408-1422
Published online: 20 Feb 2018
AbstractforA second-order efficient L-stable numerical method for space fractional reaction–diffusion equations | Full Text | References | PDF (3.3 MB)
  • 179 Views
  • 3 CrossRef citations
  • 0Altmetric
Article
On the numerical solution and dynamical laws of nonlinear fractional Schrödinger/Gross–Pitaevskii equations
Xavier Antoine, Qinglin Tang & Jiwei Zhang
Pages: 1423-1443
Published online: 22 Feb 2018
AbstractforOn the numerical solution and dynamical laws of nonlinear fractional Schrödinger/Gross–Pitaevskii equations | Full Text | References | PDF (3.2 MB)
  • 326 Views
  • 21 CrossRef citations
  • 0Altmetric
Article
Total fractional differentials with applications to exact fractional differential equations
Mohammed ALHorani & Roshdi Khalil
Pages: 1444-1452
Published online: 21 Feb 2018
AbstractforTotal fractional differentials with applications to exact fractional differential equations | Full Text | References | PDF (714.9 KB)
  • 374 Views
  • 26 CrossRef citations
  • 0Altmetric

Explore articles

Explore the most recently published articles

A gradient-based calibration method for the Heston model
Anna Clevenhaus et al.
Article | Published online: 20 May 2024
Open Access
H∞ fault detection and control of Takagi–Sugeno continuous-time conic-type nonlinear systems
B. Vigneshwar et al.
Article | Published online: 14 May 2024
Fourth-order exponential time differencing Runge–Kutta scheme and local meshless method to investigate unsteady diffusion–convection problems of anisotropic functionally graded materials
Mohammad Ilati et al.
Article | Published online: 10 May 2024
A BDF2 method for a singularly perturbed transport equation
Zhongdi Cen et al.
Article | Published online: 9 May 2024
View all latest articles